Theorems · Theorem · group theory

QuotientGroup.congr_refl

∀ {G : Type u_1} [inst : Group G] (G' : Subgroup G) [inst_1 : G'.Normal]
  (he : optParam (Subgroup.map (↑(MulEquiv.refl G)) G' = G') ⋯),
  QuotientGroup.congr G' G' (MulEquiv.refl G) he = MulEquiv.refl (G ⧸ G')

Defined in: Mathlib.GroupTheory.QuotientGroup.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Subgroup.Normal

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DFunLike.coeproof · cited by 62,936
Groupstatement and proof · cited by 6,238
Subgroupstatement and proof · cited by 3,593
HasQuotient.Quotientstatement and proof · cited by 2,301
MulEquivstatement · cited by 1,142
Subgroup.Normalstatement and proof · cited by 334
Subgroup.mapstatement and proof · cited by 301
MonoidHomClass.toMonoidHomstatement and proof · cited by 294
MulEquiv.reflstatement and proof · cited by 33
MulEquiv.extproof · cited by 18
QuotientGroup.congrstatement and proof · cited by 16
Subgroup.map_idstatement · cited by 4

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