AddSubgroup.quotientEquivProdOfLE

{α : Type u_1} → [inst : AddGroup α] → {s t : AddSubgroup α} → s ≤ t → α ⧸ s ≃ (α ⧸ t) × ↥t ⧸ s.addSubgroupOf t

If H ≤ K, then G/H ≃ G/K × K/H nonconstructively. The constructive version is quotientEquivProdOfLE'.

Defined in: Mathlib.GroupTheory.Coset.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup

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