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Theorems · Definition · group theory

Subgroup.quotientEquivOfEq

{α : Type u_1} → [inst : Group α] → {s t : Subgroup α} → s = t → α ⧸ s ≃ α ⧸ t

If two subgroups M and N of G are equal, their quotients are in bijection.

Defined in
Mathlib.GroupTheory.Coset.Defs
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group

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