Theorems · Theorem · group theory
QuotientAddGroup.rightRel_prod
∀ {α : Type u_1} [inst : AddGroup α] (s : AddSubgroup α) {β : Type u_2} [inst_1 : AddGroup β] (s' : AddSubgroup β),
QuotientAddGroup.rightRel (s.prod s') = (QuotientAddGroup.rightRel s).prod (QuotientAddGroup.rightRel s')- Defined in
- Mathlib.GroupTheory.Coset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.prodstatement · cited by 34
- Setoid.extproof · cited by 26
- QuotientAddGroup.rightRelstatement · cited by 14
- Setoid.prodstatement · cited by 7
- QuotientAddGroup.rightRel_applyproof · cited by 6
- Setoid.prod_applyproof · cited by 4
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