blob: 8b926f3ecc1e6ab79d122be4b1057a2a763593e3 [file] [edit]
def f (a : Array Nat) (i : Nat) (v : Nat) (h : i < a.size) : Array Nat :=
a.set ⟨i, h⟩ (a.get ⟨i, h⟩ + v)
set_option pp.proofs true
theorem ex1 (h₃ : i = j) : f a i (0 + v) h₁ = f a j v h₂ := by
simp
trace_state
simp [h₃]
theorem ex2 (h₃ : i = j) : f a (0 + i) (0 + v) h₁ = f a j v h₂ := by
simp
trace_state
simp [h₃]
theorem ex3 (h₃ : i = j) : f a (0 + i) (0 + v) h₁ = f a j v h₂ := by
simp [h₃]