Theorems · Theorem · group theory
FunLike.coeMonoidHom_injective
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : FunLike F α β] [inst_1 : MulOne F] [inst_2 : MulOneClass β]
[inst_3 : IsOneApply F α β] [inst_4 : IsMulApply F α β], Function.Injective ⇑(FunLike.coeMonoidHom F α β)- Defined in
- Mathlib.Data.FunLike.Group
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- FunLikestatement and proof · cited by 2,560
- MulOneClassstatement and proof · cited by 1,018
- DFunLike.coe_injectiveproof · cited by 161
- MulOnestatement and proof · cited by 65
- IsMulApplystatement and proof · cited by 18
- IsOneApplystatement and proof · cited by 12
- FunLike.coeMonoidHomstatement · cited by 6
- FunLike.coe_coeMonoidHomproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SlashInvariantForm.coeHom_injectiveproof · cited by 0