Theorems · Theorem · functional analysis
QuotientGroup.quotientQuotientEquivQuotient.congr_simp
∀ {G : Type u} [inst : Group G] (N : Subgroup G) [nN : N.Normal] (M : Subgroup G) [nM : M.Normal] (h : N ≤ M),
QuotientGroup.quotientQuotientEquivQuotient N M h = QuotientGroup.quotientQuotientEquivQuotient N M h- Defined in
- Mathlib.Analysis.Normed.Group.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- MulEquivstatement · cited by 1,142
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.mapstatement · cited by 301
- QuotientGroup.mk'statement · cited by 90
- QuotientGroup.quotientQuotientEquivQuotientstatement and proof · cited by 1
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