| /-- | |
| warning: exponent 10000000 exceeds the threshold 256, exponentiation operation was not evaluated, use `set_option exponentiation.threshold <num>` to set a new threshold | |
| --- | |
| error: maximum recursion depth has been reached | |
| use `set_option maxRecDepth <num>` to increase limit | |
| use `set_option diagnostics true` to get diagnostic information | |
| -/ | |
| #guard_msgs in | |
| example : 2^2^8000000 = 3^3^10000000 := | |
| rfl | |
| /-- | |
| -/ | |
| #guard_msgs in | |
| set_option exponentiation.threshold 258 in | |
| example : 2^257 = 2*2^256 := | |
| rfl | |
| /-- | |
| warning: exponent 2008 exceeds the threshold 256, exponentiation operation was not evaluated, use `set_option exponentiation.threshold <num>` to set a new threshold | |
| --- | |
| trace: k : Nat | |
| h : k = 2008 ^ 2 + 2 ^ 2008 | |
| ⊢ ((4032064 + 2 ^ 2008) ^ 2 + 2 ^ (4032064 + 2 ^ 2008)) % 10 = 6 | |
| --- | |
| warning: declaration uses `sorry` | |
| -/ | |
| #guard_msgs in | |
| example (k : Nat) (h : k = 2008^2 + 2^2008) : (k^2 + 2^k)%10 = 6 := by | |
| simp [h] | |
| trace_state | |
| sorry | |
| /-- | |
| trace: k : Nat | |
| h : k = 2008 ^ 2 + 2 ^ 2008 | |
| ⊢ ((2008 ^ 2 + 2 ^ 2008) ^ 2 + 2 ^ (2008 ^ 2 + 2 ^ 2008)) % 10 = 6 | |
| --- | |
| warning: declaration uses `sorry` | |
| -/ | |
| #guard_msgs in | |
| example (k : Nat) (h : k = 2008^2 + 2^2008) : (k^2 + 2^k)%10 = 6 := by | |
| rw [h] | |
| trace_state | |
| sorry |