Theorems · Definition · category theory
GrpCat.SurjectiveOfEpiAuxs.h
{A B : GrpCat} → (f : A ⟶ B) → ↑B →* Equiv.Perm (GrpCat.SurjectiveOfEpiAuxs.XWithInfinity f)Define h : B ⟶ S(X') to be τ g τ⁻¹
- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Equiv.symmproof · cited by 3,681
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement · cited by 1,375
- Equiv.transproof · cited by 337
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement and proof · cited by 125
- GrpCat.SurjectiveOfEpiAuxs.XWithInfinitystatement · cited by 22
- GrpCat.SurjectiveOfEpiAuxs.gproof · cited by 8
- GrpCat.SurjectiveOfEpiAuxs.tauproof · cited by 7
Cited by7
Results whose statement or proof uses this declaration.
- GrpCat.SurjectiveOfEpiAuxs.h_apply_fromCosetstatement · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.h_apply_fromCoset'statement · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.h_apply_fromCoset_nin_rangestatement · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.h_apply_infinitystatement · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.agreestatement and proof · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.comp_eqstatement and proof · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.g_ne_hstatement and proof · cited by 1