lean4-htt/tests/lean/run/grind_finVal.lean
Leonardo de Moura bad582ed45
feat: Fin.val support in grind cutsat (#9675)
This PR adds support for `Fin.val` in `grind cutsat`. Examples:
```lean
example (a b : Fin 2) (n : Nat) : n = 1 → ↑(a + b) ≠ n → a ≠ 0 → b = 0 → False := by
  grind

example (m n : Nat) (i : Fin (m + n)) (hi : m ≤ ↑i) : ↑i - m < n := by
  grind

example {n : Nat} (m : Nat) (i : Fin n) ⦃j : Fin (n + m)⦄
    (this : ↑i + m ≤ ↑j) : ↑j - m < n := by
  grind

example {n : Nat} (i : Fin n) (j : Nat) (hj : j < ↑i) : j < n := by
  grind
```
2025-08-01 22:29:30 +00:00

21 lines
660 B
Text

example (a b : Fin 2) (n : Nat) : n = 1 → ↑(a + b) ≠ n → a ≠ 0 → b = 0 → False := by
grind -ring
example (m n : Nat) (i : Fin (m + n)) (hi : m ≤ ↑i) : ↑i - m < n := by
grind
example {n : Nat} (m : Nat) (i : Fin n) ⦃j : Fin (n + m)⦄
(this : ↑i + m ≤ ↑j) : ↑j - m < n := by
grind
example {n : Nat} (i : Fin n) (j : Nat) (hj : j < ↑i) : j < n := by
grind
example (a : Fin 2) : ↑a ≠ 0 → ↑a ≠ 1 → False := by
grind -ring
example (a : Fin 2) : ↑a > 0 → ↑a ≠ 1 → False := by
grind -ring
example (a : Fin 2) (b : Nat) : ↑a + b ≠ 0 → b = 0 → ↑a ≠ 1 → False := by
grind -ring