Theorems · Theorem · functional analysis
GroupSeminorm.coe_smul
Deprecated since 2026-07-10Use FunLike.coe_smul instead.
∀ {M : Type u_1} {F : Type u_3} {α : Type u_5} {β : Type u_6} [inst : FunLike F α β] [inst_1 : SMul M F]
[inst_2 : SMul M β] [IsSMulApply M F α β] (n : M) (f : F), ⇑(n • f) = n • ⇑fAlias of FunLike.coe_smul.
- Defined in
- Mathlib.Analysis.Normed.Group.Seminorm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeSMulSMulIsSMulApply
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
- IsSMulApplystatement · cited by 48
- FunLike.coe_smulproof · cited by 28
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.