Theorems · Inductive type · general algebraic systems
IsNatCastApply
(F : Type u_1) → (α : outParam (Type u_2)) → [FunLike F α α] → [NatCast F] → [SMul ℕ α] → Prop
IsNatCastApply F α states for all n : ℕ and x : α, (n : F) x = n • x.
- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
Cited by8
Results whose statement or proof uses this declaration.
- IsNatCastApply.natCast_applystatement and proof · cited by 1
- FunLike.natCast_eq_nsmul_onestatement and proof · cited by 1
- natCast_applystatement · cited by 1
- FunLike.coe_natCaststatement · cited by 0
- IsNatCastApply.casesOnstatement and proof · cited by 0
- IsNatCastApply.recOnstatement and proof · cited by 0
- FunLike.ringstatement and proof · cited by 0
- FunLike.semiringstatement and proof · cited by 0