Theorems · Theorem · group theory
QuotientGroup.rightRel_apply
∀ {α : Type u_1} [inst : Group α] {s : Subgroup α} {x y : α}, (QuotientGroup.rightRel s) x y ↔ y * x⁻¹ ∈ s- Defined in
- Mathlib.GroupTheory.Coset.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- QuotientGroup.rightRelstatement · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- Subgroup.IsComplement.mul_inv_toRightFun_memproof · cited by 6
- Topology.IsQuotientMap.isQuotientCoveringMap_of_subgroupproof · cited by 3
- DoubleCoset.rel_bot_eq_right_group_relproof · cited by 1
- QuotientGroup.rightRel_eqproof · cited by 1