Theorems · Theorem · group theory
Rep.epi_iff_surjective
∀ {k : Type u} {G : Type v} [inst : Ring k] [inst_1 : Monoid G] {A B : Rep.{w, u, v} k G} (f : A ⟶ B),
CategoryTheory.Epi f ↔ Function.Surjective ⇑(Rep.Hom.hom f)- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapproof · cited by 8,698
- Ringstatement and proof · cited by 7,463
- Monoidstatement and proof · cited by 3,887
- ModuleCatproof · cited by 1,429
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- CategoryTheory.Epistatement and proof · cited by 688
- Rep.ρstatement · cited by 356
- Representation.IntertwiningMapstatement · cited by 261
- CategoryTheory.forget₂proof · cited by 260
Cited by3
Results whose statement or proof uses this declaration.
- groupCohomology.cochainsMap_f_map_epiproof · cited by 0
- Rep.FiniteCyclicGroup.resolution_quasiIsoproof · cited by 0
- groupHomology.chainsMap_f_map_epiproof · cited by 0