Theorems · Theorem · general algebraic systems
intCast_apply
∀ {F : Type u_1} {α : outParam (Type u_2)} {inst : FunLike F α α} {inst_1 : IntCast F} {inst_2 : SMul ℤ α}
[self : IsIntCastApply F α] (n : ℤ) (x : α), ↑n x = n • xAlias of IsIntCastApply.intCast_apply.
- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- IsIntCastApply
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement · cited by 2,560
- IsIntCastApplystatement · cited by 5
- IsIntCastApply.intCast_applyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- FunLike.intCast_eq_zsmul_oneproof · cited by 1
- ContinuousLinearMap.intCast_applyproof · cited by 0