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feat: add grind attribute to Nat.cast_id and Int.cast_id #11572

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feat: add grind attribute to Nat.cast_id and Int.cast_id #11572

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2 changes: 1 addition & 1 deletion src/Init/Data/Int/LemmasAux.lean
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Expand Up @@ -62,7 +62,7 @@ theorem natCast_succ_pos (n : Nat) : 0 < (n.succ : Int) := natCast_pos.2 n.succ_

@[simp high] theorem natCast_nonpos_iff {n : Nat} : (n : Int) ≤ 0 ↔ n = 0 := by omega

@[simp, norm_cast] theorem cast_id {n : Int} : Int.cast n = n := rfl
@[simp, norm_cast, grind =] theorem cast_id {n : Int} : Int.cast n = n := rfl

@[simp] theorem ble'_eq_true (a b : Int) : (Int.ble' a b = true) = (a ≤ b) := by
cases a <;> cases b <;> simp [Int.ble'] <;> omega
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5 changes: 5 additions & 0 deletions src/Init/Data/Nat/Lemmas.lean
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Expand Up @@ -12,6 +12,7 @@ public import Init.Data.Nat.Log2
import all Init.Data.Nat.Log2
public import Init.Data.Nat.Power2
public import Init.Data.Nat.Mod
public import Init.Data.Cast
import Init.TacticsExtra
import Init.BinderPredicates

Expand Down Expand Up @@ -1800,3 +1801,7 @@ instance decidableExistsFin (P : Fin n → Prop) [DecidablePred P] : Decidable (
decidable_of_iff (∃ k, k < n ∧ ((h: k < n) → P ⟨k, h⟩))
⟨fun ⟨k, a⟩ => Exists.intro ⟨k, a.left⟩ (a.right a.left),
fun ⟨i, e⟩ => Exists.intro i.val ⟨i.isLt, fun _ => e⟩⟩

/-! ### cast -/

@[simp, norm_cast, grind =] theorem cast_id (n : Nat) : Nat.cast n = n := rfl
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