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fix: add Nat.cast normalizer missing case #11580

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Merged
leodemoura merged 1 commit into from
Dec 10, 2025
Merged

fix: add Nat.cast normalizer missing case #11580

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3 changes: 2 additions & 1 deletion src/Init/Grind/Norm.lean
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Expand Up @@ -82,6 +82,7 @@ theorem natCast_mod (a b : Nat) : (NatCast.natCast (a % b) : Int) = (NatCast.nat
theorem natCast_add (a b : Nat) : (NatCast.natCast (a + b : Nat) : Int) = (NatCast.natCast a : Int) + (NatCast.natCast b : Int) := rfl
theorem natCast_mul (a b : Nat) : (NatCast.natCast (a * b : Nat) : Int) = (NatCast.natCast a : Int) * (NatCast.natCast b : Int) := rfl
theorem natCast_pow (a b : Nat) : (NatCast.natCast (a ^ b : Nat) : Int) = (NatCast.natCast a : Int) ^ b := by simp
theorem natCast_id (a : Nat) : NatCast.natCast a = a := rfl

theorem Nat.pow_one (a : Nat) : a ^ 1 = a := by
simp
Expand Down Expand Up @@ -184,7 +185,7 @@ init_grind_norm
Int.ediv_zero Int.emod_zero
Int.ediv_one Int.emod_one
Int.negSucc_eq
natCast_div natCast_mod
natCast_div natCast_mod natCast_id
natCast_add natCast_mul natCast_pow
Int.one_pow
Int.pow_zero Int.pow_one
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6 changes: 6 additions & 0 deletions tests/lean/run/grind_natCast.lean
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Expand Up @@ -5,3 +5,9 @@ example (x : Nat) : NatCast.natCast x ≥ 0 := by grind
example (x : Nat) : x ≥ (-1 : Int) := by grind
example (x : Nat) : Int.ofNat x ≥ (-1 : Int) := by grind
example (x : Nat) : NatCast.natCast x ≥ -1 := by grind

example (n : Nat) : Nat.cast n = n := by
grind

example (n m a : Nat) : n = m → Nat.cast n - a = m - a := by
grind
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