Theorems · Theorem · category theory
GrpCat.SurjectiveOfEpiAuxs.agree
∀ {A B : GrpCat} (f : A ⟶ B),
↑(GrpCat.Hom.hom f).range = {x | (GrpCat.SurjectiveOfEpiAuxs.h f) x = (GrpCat.SurjectiveOfEpiAuxs.g f) x}- Defined in
- Mathlib.Algebra.Category.Grp.EpiMono
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
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
- Setstatement and proof · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Set.ofPredstatement · cited by 6,101
- Set.rangeproof · cited by 4,705
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Set.extproof · cited by 2,266
- Equiv.Permstatement · cited by 1,375
Cited by1
Results whose statement or proof uses this declaration.
- GrpCat.SurjectiveOfEpiAuxs.comp_eqproof · cited by 1