Theorems · Theorem · commutative algebra

QuotientGroup.congr.congr_simp

∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] (G' : Subgroup G) (H' : Subgroup H)
  [inst_2 : G'.Normal] [inst_3 : H'.Normal] (e e_1 : G ≃* H) (e_e : e = e_1) (he : Subgroup.map (↑e) G' = H'),
  QuotientGroup.congr G' H' e he = QuotientGroup.congr G' H' e_1 ⋯

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

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Groupstatement and proof · cited by 6,238
Subgroupstatement and proof · cited by 3,593
HasQuotient.Quotientstatement · cited by 2,301
MulEquivstatement and proof · 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
QuotientGroup.congrstatement and proof · cited by 16

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