Theorems · Theorem · group theory
Equiv.Perm.extendDomainHom_injective
∀ {α : Type u_4} {β : Type u_5} {p : β → Prop} [inst : DecidablePred p] (f : α ≃ Subtype p),
Function.Injective ⇑(Equiv.Perm.extendDomainHom f)- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
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 and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.injectiveproof · cited by 464
- Equiv.Perm.extproof · cited by 75
- injective_iff_map_eq_oneproof · cited by 9
- Equiv.Perm.ext_iffproof · cited by 9
- Equiv.Perm.extendDomain_apply_imageproof · cited by 9
- Equiv.Perm.extendDomainHomstatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.viaEmbeddingHom_injectiveproof · cited by 1
- Equiv.Perm.extendDomain_eq_one_iffproof · cited by 0