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Theorems · Theorem · general algebraic systems

FunLike.coe_natCast

Deprecated since 2026-07-24Use FunLike.natCast_eq_nsmul_one instead.

∀ {F' : Type u_4} {α : Type u_5} [inst : FunLike F' α α] [inst_1 : NatCast F'] [inst_2 : One F'] [inst_3 : SMul ℕ α]
  [inst_4 : SMul ℕ F'] [IsSMulApply ℕ F' α α] [IsNatCastApply F' α] [IsOneApplyEqSelf F' α] (n : ℕ), ↑n = n • 1

Alias of FunLike.natCast_eq_nsmul_one.

Defined in
Mathlib.Data.FunLike.IsApply
Cited by
0 results in Mathlib
Foundations
Depth 7 from the axioms · uses propext, Quot.sound
Assumes
FunLikeNatCastOneSMulSMulIsSMulApplyIsNatCastApplyIsOneApplyEqSelf
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FunLike · cited by 2560FunLikeIsSMulApply · cited by 48IsSMulApplyIsOneApplyEqSelf · cited by 12IsOneApplyEqSelfIsNatCastApply · cited by 4IsNatCastApplyFunLike.natCast_eq_nsmul_one · cited by 1FunLike.natCast_eq_nsmul_…FunLike.coe_natCastCITED BYCITES

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