Theorems · Theorem · group theory
QuotientGroup.quotientQuotientEquivQuotientAux.congr_simp
∀ {G : Type u} [inst : Group G] (N : Subgroup G) [nN : N.Normal] (M : Subgroup G) [nM : M.Normal] (h : N ≤ M),
QuotientGroup.quotientQuotientEquivQuotientAux N M h = QuotientGroup.quotientQuotientEquivQuotientAux N M h- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.mapstatement · cited by 301
- QuotientGroup.mk'statement · cited by 90
- QuotientGroup.quotientQuotientEquivQuotientAuxstatement and proof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.