blob: ec11674a597420284ed36176cd7e0a1d2e8c3bef [file] [edit]
[Elab.info] command @ ⟨11, 0⟩-⟨11, 31⟩ @ Lean.Elab.Command.elabSetOption
[.] (Command.set_option "set_option" `trace.Elab.info) @ ⟨11, 0⟩-⟨11, 26⟩
[Elab.info] command @ ⟨13, 0⟩-⟨15, 6⟩ @ Lean.Elab.Command.elabDeclaration
Nat : Type @ ⟨13, 11⟩-⟨13, 14⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.395} @ ⟨13, 11⟩-⟨13, 14⟩
Nat : Type @ ⟨13, 11⟩-⟨13, 14⟩
x (isBinder := true) : Nat @ ⟨13, 7⟩-⟨13, 8⟩
Nat × Nat : Type @ ⟨13, 18⟩-⟨13, 27⟩ @ «_aux_Init_Notation___macroRules_term_×__1»
Macro expansion
Nat × Nat
===>
Prod✝ Nat Nat
Nat × Nat : Type @ ⟨13, 18⟩†-⟨13, 27⟩ @ Lean.Elab.Term.elabApp
[.] `Prod._@.infoTree._hyg.35 : some Sort.{?_uniq.397} @ ⟨13, 18⟩†-⟨13, 27⟩†
Prod : Type → Type → Type @ ⟨13, 18⟩†-⟨13, 27⟩†
Nat : Type @ ⟨13, 18⟩-⟨13, 21⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.399} @ ⟨13, 18⟩-⟨13, 21⟩
Nat : Type @ ⟨13, 18⟩-⟨13, 21⟩
Nat : Type @ ⟨13, 24⟩-⟨13, 27⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.398} @ ⟨13, 24⟩-⟨13, 27⟩
Nat : Type @ ⟨13, 24⟩-⟨13, 27⟩
f (isBinder := true) : Nat → Nat × Nat @ ⟨13, 4⟩-⟨13, 5⟩
x (isBinder := true) : Nat @ ⟨13, 7⟩-⟨13, 8⟩
let y := (x, x);
id y : Nat × Nat @ ⟨14, 2⟩-⟨15, 6⟩ @ Lean.Elab.Term.elabLetDecl
Nat × Nat : Type @ ⟨14, 6⟩†-⟨14, 7⟩† @ Lean.Elab.Term.elabHole
(x, x) : Nat × Nat @ ⟨14, 11⟩-⟨14, 17⟩ @ Lean.Elab.Term.elabAnonymousCtor
Macro expansion
⟨x, x⟩
===>
Prod.mk✝ x x
(x, x) : Nat × Nat @ ⟨14, 11⟩†-⟨14, 16⟩ @ Lean.Elab.Term.elabApp
[.] `Prod.mk._@._internal._hyg.0 : some Prod.{0 0} Nat Nat @ ⟨14, 11⟩†-⟨14, 17⟩†
@Prod.mk : {α β : Type} → α → β → α × β @ ⟨14, 11⟩†-⟨14, 17⟩†
x : Nat @ ⟨14, 12⟩-⟨14, 13⟩ @ Lean.Elab.Term.elabIdent
[.] `x : some ?_uniq.416 @ ⟨14, 12⟩-⟨14, 13⟩
x : Nat @ ⟨14, 12⟩-⟨14, 13⟩
x : Nat @ ⟨14, 15⟩-⟨14, 16⟩ @ Lean.Elab.Term.elabIdent
[.] `x : some ?_uniq.417 @ ⟨14, 15⟩-⟨14, 16⟩
x : Nat @ ⟨14, 15⟩-⟨14, 16⟩
y (isBinder := true) : Nat × Nat @ ⟨14, 6⟩-⟨14, 7⟩
id y : Nat × Nat @ ⟨15, 2⟩-⟨15, 6⟩ @ Lean.Elab.Term.elabApp
[.] `id : some Prod.{0 0} Nat Nat @ ⟨15, 2⟩-⟨15, 4⟩
@id : {α : Type} → α → α @ ⟨15, 2⟩-⟨15, 4⟩
y : Nat × Nat @ ⟨15, 5⟩-⟨15, 6⟩ @ Lean.Elab.Term.elabIdent
[.] `y : some ?_uniq.407 @ ⟨15, 5⟩-⟨15, 6⟩
y : Nat × Nat @ ⟨15, 5⟩-⟨15, 6⟩
f (isBinder := true) : Nat → Nat × Nat @ ⟨13, 4⟩-⟨13, 5⟩
[Elab.info] command @ ⟨17, 0⟩-⟨19, 8⟩ @ Lean.Elab.Command.elabDeclaration
∀ (x y : Nat), Bool → x + 0 = x : Prop @ ⟨17, 8⟩-⟨17, 44⟩ @ Lean.Elab.Term.elabDepArrow
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.427} @ ⟨17, 15⟩-⟨17, 18⟩
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩
x (isBinder := true) : Nat @ ⟨17, 9⟩-⟨17, 10⟩
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.429} @ ⟨17, 15⟩-⟨17, 18⟩
Nat : Type @ ⟨17, 15⟩-⟨17, 18⟩
y (isBinder := true) : Nat @ ⟨17, 11⟩-⟨17, 12⟩
Bool → x + 0 = x : Prop @ ⟨17, 22⟩-⟨17, 44⟩ @ Lean.Elab.Term.elabDepArrow
Bool : Type @ ⟨17, 27⟩-⟨17, 31⟩ @ Lean.Elab.Term.elabIdent
[.] `Bool : some Sort.{?_uniq.432} @ ⟨17, 27⟩-⟨17, 31⟩
Bool : Type @ ⟨17, 27⟩-⟨17, 31⟩
b (isBinder := true) : Bool @ ⟨17, 23⟩-⟨17, 24⟩
x + 0 = x : Prop @ ⟨17, 35⟩-⟨17, 44⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
Macro expansion
x + 0 = x
===>
binrel% Eq✝ (x + 0)x
x + 0 = x : Prop @ ⟨17, 35⟩†-⟨17, 44⟩ @ Lean.Elab.Term.BinOp.elabBinRel
[.] `Eq._@.infoTree._hyg.55 : none @ ⟨17, 35⟩†-⟨17, 44⟩†
[.] `HAdd.hAdd._@.infoTree._hyg.57 : none @ ⟨17, 35⟩†-⟨17, 40⟩†
x : Nat @ ⟨17, 35⟩-⟨17, 36⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨17, 35⟩-⟨17, 36⟩
x : Nat @ ⟨17, 35⟩-⟨17, 36⟩
0 : Nat @ ⟨17, 39⟩-⟨17, 40⟩ @ Lean.Elab.Term.elabNumLit
x : Nat @ ⟨17, 43⟩-⟨17, 44⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨17, 43⟩-⟨17, 44⟩
x : Nat @ ⟨17, 43⟩-⟨17, 44⟩
h (isBinder := true) : ∀ (x y : Nat), Bool → x + 0 = x @ ⟨17, 4⟩-⟨17, 5⟩
fun x y b => of_eq_true (eq_self x) : ∀ (x y : Nat), Bool → x + 0 = x @ ⟨18, 2⟩-⟨19, 8⟩ @ Lean.Elab.Term.elabFun
Nat : Type @ ⟨18, 6⟩†-⟨18, 7⟩† @ Lean.Elab.Term.elabHole
x (isBinder := true) : Nat @ ⟨18, 6⟩-⟨18, 7⟩
Nat : Type @ ⟨18, 8⟩†-⟨18, 9⟩† @ Lean.Elab.Term.elabHole
y (isBinder := true) : Nat @ ⟨18, 8⟩-⟨18, 9⟩
Bool : Type @ ⟨18, 10⟩†-⟨18, 11⟩† @ Lean.Elab.Term.elabHole
b (isBinder := true) : Bool @ ⟨18, 10⟩-⟨18, 11⟩
Tactic @ ⟨18, 15⟩-⟨19, 8⟩
(Term.byTactic "by" (Tactic.tacticSeq (Tactic.tacticSeq1Indented [(group (Tactic.simp "simp" [] [] [] [] []) [])])))
before
x y : Nat
b : Bool
⊢ x + 0 = x
after no goals
Tactic @ ⟨19, 4⟩-⟨19, 8⟩ @ Lean.Elab.Tactic.evalTacticSeq
(Tactic.tacticSeq (Tactic.tacticSeq1Indented [(group (Tactic.simp "simp" [] [] [] [] []) [])]))
before
x y : Nat
b : Bool
⊢ x + 0 = x
after no goals
Tactic @ ⟨19, 4⟩-⟨19, 8⟩ @ Lean.Elab.Tactic.evalTacticSeq1Indented
(Tactic.tacticSeq1Indented [(group (Tactic.simp "simp" [] [] [] [] []) [])])
before
x y : Nat
b : Bool
⊢ x + 0 = x
after no goals
Tactic @ ⟨19, 4⟩-⟨19, 8⟩ @ Lean.Elab.Tactic.evalSimp
(Tactic.simp "simp" [] [] [] [] [])
before
x y : Nat
b : Bool
⊢ x + 0 = x
after no goals
h (isBinder := true) : ∀ (x y : Nat), Bool → x + 0 = x @ ⟨17, 4⟩-⟨17, 5⟩
[Elab.info] command @ ⟨21, 0⟩-⟨25, 10⟩ @ Lean.Elab.Command.elabDeclaration
Nat → Nat → Bool → Nat : Type @ ⟨21, 9⟩-⟨21, 39⟩ @ Lean.Elab.Term.elabDepArrow
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.547} @ ⟨21, 16⟩-⟨21, 19⟩
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩
x (isBinder := true) : Nat @ ⟨21, 10⟩-⟨21, 11⟩
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.549} @ ⟨21, 16⟩-⟨21, 19⟩
Nat : Type @ ⟨21, 16⟩-⟨21, 19⟩
y (isBinder := true) : Nat @ ⟨21, 12⟩-⟨21, 13⟩
Bool → Nat : Type @ ⟨21, 23⟩-⟨21, 39⟩ @ Lean.Elab.Term.elabDepArrow
Bool : Type @ ⟨21, 28⟩-⟨21, 32⟩ @ Lean.Elab.Term.elabIdent
[.] `Bool : some Sort.{?_uniq.552} @ ⟨21, 28⟩-⟨21, 32⟩
Bool : Type @ ⟨21, 28⟩-⟨21, 32⟩
b (isBinder := true) : Bool @ ⟨21, 24⟩-⟨21, 25⟩
Nat : Type @ ⟨21, 36⟩-⟨21, 39⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.554} @ ⟨21, 36⟩-⟨21, 39⟩
Nat : Type @ ⟨21, 36⟩-⟨21, 39⟩
f2 (isBinder := true) : Nat → Nat → Bool → Nat @ ⟨21, 4⟩-⟨21, 6⟩
fun x y b =>
let _discr := (x + y, x - y);
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w;
z + z1 : Nat → Nat → Bool → Nat @ ⟨22, 2⟩-⟨25, 10⟩ @ Lean.Elab.Term.elabFun
Nat : Type @ ⟨22, 6⟩†-⟨22, 7⟩† @ Lean.Elab.Term.elabHole
x (isBinder := true) : Nat @ ⟨22, 6⟩-⟨22, 7⟩
Nat : Type @ ⟨22, 8⟩†-⟨22, 9⟩† @ Lean.Elab.Term.elabHole
y (isBinder := true) : Nat @ ⟨22, 8⟩-⟨22, 9⟩
Bool : Type @ ⟨22, 10⟩†-⟨22, 11⟩† @ Lean.Elab.Term.elabHole
b (isBinder := true) : Bool @ ⟨22, 10⟩-⟨22, 11⟩
let _discr := (x + y, x - y);
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w;
z + z1 : Nat @ ⟨23, 4⟩-⟨25, 10⟩ @ Lean.Elab.Term.elabLetDecl
Macro expansion
let (z, w) := (x + y, x - y)
let z1 := z + w
z + z1
===>
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w
z + z1
let _discr := (x + y, x - y);
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w;
z + z1 : Nat @ ⟨23, 4⟩†-⟨25, 10⟩ @ Lean.Elab.Term.elabMatch
Macro expansion
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w
z + z1
===>
let _discr✝ := (x + y, x - y);
match _discr✝ with
| (z, w) =>
let z1 := z + w
z + z1
let _discr := (x + y, x - y);
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w;
z + z1 : Nat @ ⟨23, 4⟩†-⟨25, 10⟩ @ Lean.Elab.Term.elabLetDecl
Nat × Nat : Type @ ⟨23, 4⟩†-⟨25, 10⟩† @ Lean.Elab.Term.elabHole
(x + y, x - y) : Nat × Nat @ ⟨23, 18⟩-⟨23, 32⟩ @ Lean.Elab.Term.expandParen
Macro expansion
(x + y, x - y)
===>
Prod.mk✝ (x + y) (x - y)
(x + y, x - y) : Nat × Nat @ ⟨23, 18⟩†-⟨23, 31⟩ @ Lean.Elab.Term.elabApp
[.] `Prod.mk._@.infoTree._hyg.88 : some ?_uniq.566 @ ⟨23, 18⟩†-⟨23, 32⟩†
@Prod.mk : {α β : Type} → α → β → α × β @ ⟨23, 18⟩†-⟨23, 32⟩†
x + y : Nat @ ⟨23, 19⟩-⟨23, 24⟩ @ «_aux_Init_Notation___macroRules_term_+__2»
Macro expansion
x + y
===>
binop% HAdd.hAdd✝ x y
x + y : Nat @ ⟨23, 19⟩†-⟨23, 24⟩ @ Lean.Elab.Term.BinOp.elabBinOp
[.] `HAdd.hAdd._@.infoTree._hyg.91 : none @ ⟨23, 19⟩†-⟨23, 24⟩†
x : Nat @ ⟨23, 19⟩-⟨23, 20⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨23, 19⟩-⟨23, 20⟩
x : Nat @ ⟨23, 19⟩-⟨23, 20⟩
y : Nat @ ⟨23, 23⟩-⟨23, 24⟩ @ Lean.Elab.Term.elabIdent
[.] `y : none @ ⟨23, 23⟩-⟨23, 24⟩
y : Nat @ ⟨23, 23⟩-⟨23, 24⟩
x - y : Nat @ ⟨23, 26⟩-⟨23, 31⟩ @ «_aux_Init_Notation___macroRules_term_-__2»
Macro expansion
x - y
===>
binop% HSub.hSub✝ x y
x - y : Nat @ ⟨23, 26⟩†-⟨23, 31⟩ @ Lean.Elab.Term.BinOp.elabBinOp
[.] `HSub.hSub._@.infoTree._hyg.96 : none @ ⟨23, 26⟩†-⟨23, 31⟩†
x : Nat @ ⟨23, 26⟩-⟨23, 27⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨23, 26⟩-⟨23, 27⟩
x : Nat @ ⟨23, 26⟩-⟨23, 27⟩
y : Nat @ ⟨23, 30⟩-⟨23, 31⟩ @ Lean.Elab.Term.elabIdent
[.] `y : none @ ⟨23, 30⟩-⟨23, 31⟩
y : Nat @ ⟨23, 30⟩-⟨23, 31⟩
_discr✝ (isBinder := true) : Nat × Nat @ ⟨23, 4⟩†-⟨25, 10⟩†
match (x + y, x - y) with
| (z, w) =>
let z1 := z + w;
z + z1 : Nat @ ⟨23, 4⟩†-⟨25, 10⟩ @ Lean.Elab.Term.elabMatch
[.] `Prod.mk._@.infoTree._hyg.102 : none @ ⟨23, 4⟩†-⟨25, 10⟩†
@Prod.mk : {α : Type ?u} → {β : Type ?u} → α → β → α × β @ ⟨23, 4⟩†-⟨25, 10⟩†
[.] `z : none @ ⟨23, 9⟩-⟨23, 10⟩
[.] `w : none @ ⟨23, 12⟩-⟨23, 13⟩
[.] `Prod.mk._@.infoTree._hyg.102 : some Prod.{0 0} Nat Nat @ ⟨23, 4⟩†-⟨25, 10⟩†
[.] `z : some [mdata _patWithRef: ?_uniq.634] @ ⟨23, 9⟩-⟨23, 10⟩
[.] `w : some [mdata _patWithRef: ?_uniq.635] @ ⟨23, 12⟩-⟨23, 13⟩
(z, w) : Nat × Nat @ ⟨23, 4⟩†-⟨23, 13⟩
Nat : Type @ ⟨23, 4⟩†-⟨23, 13⟩†
Nat : Type @ ⟨23, 4⟩†-⟨23, 13⟩†
z (isBinder := true) : Nat @ ⟨23, 9⟩-⟨23, 10⟩
w (isBinder := true) : Nat @ ⟨23, 12⟩-⟨23, 13⟩
let z1 := z + w;
z + z1 : Nat @ ⟨24, 4⟩-⟨25, 10⟩ @ Lean.Elab.Term.elabLetDecl
Nat : Type @ ⟨24, 8⟩†-⟨24, 10⟩† @ Lean.Elab.Term.elabHole
z + w : Nat @ ⟨24, 14⟩-⟨24, 19⟩ @ «_aux_Init_Notation___macroRules_term_+__2»
Macro expansion
z + w
===>
binop% HAdd.hAdd✝ z w
z + w : Nat @ ⟨24, 14⟩†-⟨24, 19⟩ @ Lean.Elab.Term.BinOp.elabBinOp
[.] `HAdd.hAdd._@.infoTree._hyg.114 : none @ ⟨24, 14⟩†-⟨24, 19⟩†
z : Nat @ ⟨24, 14⟩-⟨24, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `z : none @ ⟨24, 14⟩-⟨24, 15⟩
z : Nat @ ⟨24, 14⟩-⟨24, 15⟩
w : Nat @ ⟨24, 18⟩-⟨24, 19⟩ @ Lean.Elab.Term.elabIdent
[.] `w : none @ ⟨24, 18⟩-⟨24, 19⟩
w : Nat @ ⟨24, 18⟩-⟨24, 19⟩
z1 (isBinder := true) : Nat @ ⟨24, 8⟩-⟨24, 10⟩
z + z1 : Nat @ ⟨25, 4⟩-⟨25, 10⟩ @ «_aux_Init_Notation___macroRules_term_+__2»
Macro expansion
z + z1
===>
binop% HAdd.hAdd✝ z z1
z + z1 : Nat @ ⟨25, 4⟩†-⟨25, 10⟩ @ Lean.Elab.Term.BinOp.elabBinOp
[.] `HAdd.hAdd._@.infoTree._hyg.119 : none @ ⟨25, 4⟩†-⟨25, 10⟩†
z : Nat @ ⟨25, 4⟩-⟨25, 5⟩ @ Lean.Elab.Term.elabIdent
[.] `z : none @ ⟨25, 4⟩-⟨25, 5⟩
z : Nat @ ⟨25, 4⟩-⟨25, 5⟩
z1 : Nat @ ⟨25, 8⟩-⟨25, 10⟩ @ Lean.Elab.Term.elabIdent
[.] `z1 : none @ ⟨25, 8⟩-⟨25, 10⟩
z1 : Nat @ ⟨25, 8⟩-⟨25, 10⟩
f2 (isBinder := true) : Nat → Nat → Bool → Nat @ ⟨21, 4⟩-⟨21, 6⟩
[Elab.info] command @ ⟨27, 0⟩-⟨28, 17⟩ @ Lean.Elab.Command.elabDeclaration
Nat × Array (Array Nat) : Type @ ⟨27, 12⟩-⟨27, 35⟩ @ «_aux_Init_Notation___macroRules_term_×__1»
Macro expansion
Nat × Array (Array Nat)
===>
Prod✝ Nat (Array (Array Nat))
Nat × Array (Array Nat) : Type @ ⟨27, 12⟩†-⟨27, 35⟩ @ Lean.Elab.Term.elabApp
[.] `Prod._@.infoTree._hyg.127 : some Sort.{?_uniq.760} @ ⟨27, 12⟩†-⟨27, 35⟩†
Prod : Type → Type → Type @ ⟨27, 12⟩†-⟨27, 35⟩†
Nat : Type @ ⟨27, 12⟩-⟨27, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.762} @ ⟨27, 12⟩-⟨27, 15⟩
Nat : Type @ ⟨27, 12⟩-⟨27, 15⟩
Array (Array Nat) : Type @ ⟨27, 18⟩-⟨27, 35⟩ @ Lean.Elab.Term.elabApp
[.] `Array : some Type.{?_uniq.761} @ ⟨27, 18⟩-⟨27, 23⟩
Array : Type → Type @ ⟨27, 18⟩-⟨27, 23⟩
Array Nat : Type @ ⟨27, 24⟩-⟨27, 35⟩ @ Lean.Elab.Term.expandParen
Macro expansion
(Array Nat)
===>
Array Nat
Array Nat : Type @ ⟨27, 25⟩-⟨27, 34⟩ @ Lean.Elab.Term.elabApp
[.] `Array : some Type.{?_uniq.763} @ ⟨27, 25⟩-⟨27, 30⟩
Array : Type → Type @ ⟨27, 25⟩-⟨27, 30⟩
Nat : Type @ ⟨27, 31⟩-⟨27, 34⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.764} @ ⟨27, 31⟩-⟨27, 34⟩
Nat : Type @ ⟨27, 31⟩-⟨27, 34⟩
s (isBinder := true) : Nat × Array (Array Nat) @ ⟨27, 8⟩-⟨27, 9⟩
Array Nat : Type @ ⟨27, 39⟩-⟨27, 48⟩ @ Lean.Elab.Term.elabApp
[.] `Array : some Sort.{?_uniq.766} @ ⟨27, 39⟩-⟨27, 44⟩
Array : Type → Type @ ⟨27, 39⟩-⟨27, 44⟩
Nat : Type @ ⟨27, 45⟩-⟨27, 48⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Type.{?_uniq.767} @ ⟨27, 45⟩-⟨27, 48⟩
Nat : Type @ ⟨27, 45⟩-⟨27, 48⟩
f3 (isBinder := true) : Nat × Array (Array Nat) → Array Nat @ ⟨27, 4⟩-⟨27, 6⟩
s (isBinder := true) : Nat × Array (Array Nat) @ ⟨27, 8⟩-⟨27, 9⟩
Array.push (Array.getOp s.snd 1) s.fst : Array Nat @ ⟨28, 2⟩-⟨28, 17⟩ @ Lean.Elab.Term.elabApp
[.] `s : some Array.{0} Nat @ ⟨28, 2⟩-⟨28, 3⟩
s : Nat × Array (Array Nat) @ ⟨28, 2⟩-⟨28, 3⟩
@Prod.snd : {α β : Type} → α × β → β @ ⟨28, 4⟩-⟨28, 5⟩
@Array.getOp : {α : Type} → [inst : Inhabited α] → Array α → Nat → α @ ⟨28, 5⟩-⟨28, 6⟩
1 : Nat @ ⟨28, 6⟩-⟨28, 7⟩ @ Lean.Elab.Term.elabNumLit
[.] Array.getOp s.snd 1 : Array Nat @ ⟨28, 2⟩-⟨28, 8⟩ : some Array.{0} Nat
@Array.push : {α : Type} → Array α → α → Array α @ ⟨28, 9⟩-⟨28, 13⟩
s.fst : Nat @ ⟨28, 14⟩-⟨28, 17⟩ @ Lean.Elab.Term.elabProj
[.] `s : some ?_uniq.801 @ ⟨28, 14⟩-⟨28, 15⟩
s : Nat × Array (Array Nat) @ ⟨28, 14⟩-⟨28, 15⟩
@Prod.fst : {α β : Type} → α × β → α @ ⟨28, 16⟩-⟨28, 17⟩
f3 (isBinder := true) : Nat × Array (Array Nat) → Array Nat @ ⟨27, 4⟩-⟨27, 6⟩
[Elab.info] command @ ⟨30, 0⟩-⟨31, 20⟩ @ Lean.Elab.Command.elabDeclaration
B : Type @ ⟨30, 14⟩-⟨30, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `B : some Sort.{?_uniq.808} @ ⟨30, 14⟩-⟨30, 15⟩
B : Type @ ⟨30, 14⟩-⟨30, 15⟩
arg (isBinder := true) : B @ ⟨30, 8⟩-⟨30, 11⟩
Nat : Type @ ⟨30, 19⟩-⟨30, 22⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.810} @ ⟨30, 19⟩-⟨30, 22⟩
Nat : Type @ ⟨30, 19⟩-⟨30, 22⟩
f4 (isBinder := true) : B → Nat @ ⟨30, 4⟩-⟨30, 6⟩
arg (isBinder := true) : B @ ⟨30, 8⟩-⟨30, 11⟩
A.val arg.pair.fst 0 : Nat @ ⟨31, 2⟩-⟨31, 20⟩ @ Lean.Elab.Term.elabApp
[.] `arg.pair.fst.val : some Nat @ ⟨31, 2⟩-⟨31, 18⟩
arg : B @ ⟨31, 2⟩-⟨31, 5⟩
[.] arg : B @ ⟨31, 2⟩-⟨31, 18⟩ : some Nat
B.pair : B → A × A @ ⟨31, 6⟩-⟨31, 10⟩
[.] arg.pair : A × A @ ⟨31, 2⟩-⟨31, 18⟩ : some Nat
@Prod.fst : {α β : Type} → α × β → α @ ⟨31, 11⟩-⟨31, 14⟩
[.] arg.pair.fst : A @ ⟨31, 2⟩-⟨31, 18⟩ : some Nat
A.val : A → Nat → Nat @ ⟨31, 15⟩-⟨31, 18⟩
0 : Nat @ ⟨31, 19⟩-⟨31, 20⟩ @ Lean.Elab.Term.elabNumLit
f4 (isBinder := true) : B → Nat @ ⟨30, 4⟩-⟨30, 6⟩
[Elab.info] command @ ⟨33, 0⟩-⟨35, 1⟩ @ Lean.Elab.Command.elabDeclaration
Nat : Type @ ⟨33, 12⟩-⟨33, 15⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.830} @ ⟨33, 12⟩-⟨33, 15⟩
Nat : Type @ ⟨33, 12⟩-⟨33, 15⟩
x (isBinder := true) : Nat @ ⟨33, 8⟩-⟨33, 9⟩
B : Type @ ⟨33, 19⟩-⟨33, 20⟩ @ Lean.Elab.Term.elabIdent
[.] `B : some Sort.{?_uniq.832} @ ⟨33, 19⟩-⟨33, 20⟩
B : Type @ ⟨33, 19⟩-⟨33, 20⟩
f5 (isBinder := true) : Nat → B @ ⟨33, 4⟩-⟨33, 6⟩
x (isBinder := true) : Nat @ ⟨33, 8⟩-⟨33, 9⟩
{ pair := ({ val := id }, { val := id }) } : B @ ⟨33, 24⟩-⟨35, 1⟩ @ Lean.Elab.Term.StructInst.elabStructInst
({ val := id }, { val := id }) : A × A @ ⟨34, 10⟩-⟨34, 40⟩ @ Lean.Elab.Term.expandParen
Macro expansion
({ val := id }, { val := id })
===>
Prod.mk✝ { val := id } { val := id }
({ val := id }, { val := id }) : A × A @ ⟨34, 10⟩†-⟨34, 39⟩ @ Lean.Elab.Term.elabApp
[.] `Prod.mk._@.infoTree._hyg.152 : some Prod.{0 0} A A @ ⟨34, 10⟩†-⟨34, 40⟩†
@Prod.mk : {α β : Type} → α → β → α × β @ ⟨34, 10⟩†-⟨34, 40⟩†
{ val := id } : A @ ⟨34, 11⟩-⟨34, 24⟩ @ Lean.Elab.Term.StructInst.elabStructInst
id : Nat → Nat @ ⟨34, 20⟩-⟨34, 22⟩ @ Lean.Elab.Term.elabIdent
[.] `id : some Nat -> Nat @ ⟨34, 20⟩-⟨34, 22⟩
@id : {α : Type} → α → α @ ⟨34, 20⟩-⟨34, 22⟩
val : Nat → Nat := id @ ⟨34, 13⟩-⟨34, 16⟩
{ val := id } : A @ ⟨34, 26⟩-⟨34, 39⟩ @ Lean.Elab.Term.StructInst.elabStructInst
id : Nat → Nat @ ⟨34, 35⟩-⟨34, 37⟩ @ Lean.Elab.Term.elabIdent
[.] `id : some Nat -> Nat @ ⟨34, 35⟩-⟨34, 37⟩
@id : {α : Type} → α → α @ ⟨34, 35⟩-⟨34, 37⟩
val : Nat → Nat := id @ ⟨34, 28⟩-⟨34, 31⟩
pair : A × A := ({ val := id }, { val := id }) @ ⟨34, 2⟩-⟨34, 6⟩
f5 (isBinder := true) : Nat → B @ ⟨33, 4⟩-⟨33, 6⟩
def Nat.xor : Nat → Nat → Nat :=
bitwise bne
[Elab.info] command @ ⟨37, 0⟩-⟨38, 10⟩ @ Lean.Elab.Command.expandInCmd
command @ ⟨37, 0⟩†-⟨38, 10⟩† @ Lean.Elab.Command.elabSection
command @ ⟨37, 0⟩-⟨37, 8⟩ @ Lean.Elab.Command.elabOpen
command @ ⟨38, 0⟩-⟨38, 10⟩ @ Lean.Elab.Command.elabPrint
[.] `xor : none @ ⟨38, 7⟩-⟨38, 10⟩
xor : Nat → Nat → Nat @ ⟨38, 7⟩-⟨38, 10⟩
command @ ⟨37, 0⟩†-⟨38, 10⟩† @ Lean.Elab.Command.elabEnd
infoTree.lean:41:0: error: expected identifier or term
[Elab.info] command @ ⟨39, 0⟩-⟨39, 30⟩ @ no_elab
infoTree.lean:44:0: error: expected stx
[Elab.info] command @ ⟨41, 0⟩-⟨41, 5⟩ @ no_elab
[Elab.info] command @ ⟨44, 0⟩-⟨44, 22⟩ @ Lean.Elab.Command.elabSetOption
[.] (Command.set_option "set_option" `pp.raw) @ ⟨44, 0⟩-⟨44, 17⟩
[Elab.info] command @ ⟨45, 0⟩-⟨47, 8⟩ @ Lean.Elab.Command.elabDeclaration
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.853} @ ⟨45, 14⟩-⟨45, 17⟩
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩
_uniq.854 (isBinder := true) : Nat @ ⟨45, 8⟩-⟨45, 9⟩
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.855} @ ⟨45, 14⟩-⟨45, 17⟩
Nat : Type @ ⟨45, 14⟩-⟨45, 17⟩
_uniq.856 (isBinder := true) : Nat @ ⟨45, 10⟩-⟨45, 11⟩
Eq.{1} Nat _uniq.854 _uniq.854 : Prop @ ⟨45, 21⟩-⟨45, 26⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
Macro expansion
(«term_=_» `x "=" `x)
===>
(Term.binrel "binrel%" `Eq._@.infoTree._hyg.177 `x `x)
Eq.{1} Nat _uniq.854 _uniq.854 : Prop @ ⟨45, 21⟩†-⟨45, 26⟩ @ Lean.Elab.Term.BinOp.elabBinRel
[.] `Eq._@.infoTree._hyg.177 : none @ ⟨45, 21⟩†-⟨45, 26⟩†
_uniq.854 : Nat @ ⟨45, 21⟩-⟨45, 22⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨45, 21⟩-⟨45, 22⟩
_uniq.854 : Nat @ ⟨45, 21⟩-⟨45, 22⟩
_uniq.854 : Nat @ ⟨45, 25⟩-⟨45, 26⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨45, 25⟩-⟨45, 26⟩
_uniq.854 : Nat @ ⟨45, 25⟩-⟨45, 26⟩
_uniq.860 (isBinder := true) : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨45, 4⟩-⟨45, 6⟩
_uniq.861 (isBinder := true) : Nat @ ⟨45, 8⟩-⟨45, 9⟩
_uniq.862 (isBinder := true) : Nat @ ⟨45, 10⟩-⟨45, 11⟩
(fun (f7 : forall (x : Nat), Nat -> (Eq.{1} Nat x x)) => [mdata _recApp: f7 _uniq.861 _uniq.862]) f6.f7 : Eq.{1} Nat _uniq.861 _uniq.861 @ ⟨46, 2⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabLetRec
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.863} @ ⟨46, 20⟩-⟨46, 23⟩
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩
_uniq.864 (isBinder := true) : Nat @ ⟨46, 14⟩-⟨46, 15⟩
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩ @ Lean.Elab.Term.elabIdent
[.] `Nat : some Sort.{?_uniq.865} @ ⟨46, 20⟩-⟨46, 23⟩
Nat : Type @ ⟨46, 20⟩-⟨46, 23⟩
_uniq.866 (isBinder := true) : Nat @ ⟨46, 16⟩-⟨46, 17⟩
Eq.{1} Nat _uniq.864 _uniq.864 : Prop @ ⟨46, 27⟩-⟨46, 32⟩ @ «_aux_Init_Notation___macroRules_term_=__2»
Macro expansion
(«term_=_» `x "=" `x)
===>
(Term.binrel "binrel%" `Eq._@.infoTree._hyg.185 `x `x)
Eq.{1} Nat _uniq.864 _uniq.864 : Prop @ ⟨46, 27⟩†-⟨46, 32⟩ @ Lean.Elab.Term.BinOp.elabBinRel
[.] `Eq._@.infoTree._hyg.185 : none @ ⟨46, 27⟩†-⟨46, 32⟩†
_uniq.864 : Nat @ ⟨46, 27⟩-⟨46, 28⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨46, 27⟩-⟨46, 28⟩
_uniq.864 : Nat @ ⟨46, 27⟩-⟨46, 28⟩
_uniq.864 : Nat @ ⟨46, 31⟩-⟨46, 32⟩ @ Lean.Elab.Term.elabIdent
[.] `x : none @ ⟨46, 31⟩-⟨46, 32⟩
_uniq.864 : Nat @ ⟨46, 31⟩-⟨46, 32⟩
_uniq.871 (isBinder := true) : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨46, 10⟩-⟨46, 12⟩
_uniq.872 (isBinder := true) : Nat @ ⟨46, 14⟩-⟨46, 15⟩
_uniq.873 (isBinder := true) : Nat @ ⟨46, 16⟩-⟨46, 17⟩
Eq.refl.{1} Nat _uniq.872 : Eq.{1} Nat _uniq.872 _uniq.872 @ ⟨46, 36⟩-⟨46, 45⟩ @ Lean.Elab.Term.elabApp
[.] `Eq.refl : some Eq.{?_uniq.868} Nat _uniq.872 _uniq.872 @ ⟨46, 36⟩-⟨46, 43⟩
Eq.refl.{1} : forall {α : Type} (a : α), Eq.{1} α a a @ ⟨46, 36⟩-⟨46, 43⟩
_uniq.872 : Nat @ ⟨46, 44⟩-⟨46, 45⟩ @ Lean.Elab.Term.elabIdent
[.] `x : some ?_uniq.875 @ ⟨46, 44⟩-⟨46, 45⟩
_uniq.872 : Nat @ ⟨46, 44⟩-⟨46, 45⟩
[mdata _recApp: _uniq.871 _uniq.861 _uniq.862] : Eq.{1} Nat _uniq.861 _uniq.861 @ ⟨47, 2⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabApp
[.] `f7 : some Eq.{1} Nat _uniq.861 _uniq.861 @ ⟨47, 2⟩-⟨47, 4⟩
_uniq.871 : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨47, 2⟩-⟨47, 4⟩
_uniq.861 : Nat @ ⟨47, 5⟩-⟨47, 6⟩ @ Lean.Elab.Term.elabIdent
[.] `x : some Nat @ ⟨47, 5⟩-⟨47, 6⟩
_uniq.861 : Nat @ ⟨47, 5⟩-⟨47, 6⟩
_uniq.862 : Nat @ ⟨47, 7⟩-⟨47, 8⟩ @ Lean.Elab.Term.elabIdent
[.] `y : some Nat @ ⟨47, 7⟩-⟨47, 8⟩
_uniq.862 : Nat @ ⟨47, 7⟩-⟨47, 8⟩
f6.f7 (isBinder := true) : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨46, 10⟩-⟨46, 12⟩
f6 (isBinder := true) : forall (x : Nat), Nat -> (Eq.{1} Nat x x) @ ⟨45, 4⟩-⟨45, 6⟩
[Elab.info] command @ ⟨50, 0⟩-⟨50, 32⟩ @ Lean.Elab.Command.elabDeclaration
B : Type @ ⟨50, 12⟩-⟨50, 13⟩ @ Lean.Elab.Term.elabIdent
[.] `B : some Sort.{?_uniq.895} @ ⟨50, 12⟩-⟨50, 13⟩
B : Type @ ⟨50, 12⟩-⟨50, 13⟩
_uniq.896 (isBinder := true) : B @ ⟨50, 8⟩-⟨50, 9⟩
B : Type @ ⟨50, 17⟩-⟨50, 18⟩ @ Lean.Elab.Term.elabIdent
[.] `B : some Sort.{?_uniq.897} @ ⟨50, 17⟩-⟨50, 18⟩
B : Type @ ⟨50, 17⟩-⟨50, 18⟩
_uniq.898 (isBinder := true) : B -> B @ ⟨50, 4⟩-⟨50, 6⟩
_uniq.899 (isBinder := true) : B @ ⟨50, 8⟩-⟨50, 9⟩
B.mk (B.pair _uniq.899) : B @ ⟨50, 22⟩-⟨50, 32⟩ @ Lean.Elab.Term.StructInst.elabStructInst
B.pair _uniq.899 : Prod.{0 0} A A @ ⟨50, 24⟩-⟨50, 25⟩† @ Lean.Elab.Term.elabProj
[.] `b : some Prod.{0 0} A A @ ⟨50, 24⟩-⟨50, 25⟩
_uniq.899 : B @ ⟨50, 24⟩-⟨50, 25⟩
[.] _uniq.899 : B @ ⟨50, 24⟩-⟨50, 25⟩ : some Prod.{0 0} A A
B.pair : B -> (Prod.{0 0} A A) @ ⟨50, 24⟩†-⟨50, 25⟩†
pair : Prod.{0 0} A A := B.pair _uniq.899 @ ⟨50, 22⟩†-⟨50, 32⟩
f7 (isBinder := true) : B -> B @ ⟨50, 4⟩-⟨50, 6⟩