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Theorems · Definition · group theory

QuotientGroup.rightRel

{α : Type u_1} → [inst : Group α] → Subgroup α → Setoid α

The equivalence relation corresponding to the partition of a group by right cosets of a subgroup.

Defined in
Mathlib.GroupTheory.Coset.Defs
Cited by
44 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Rep.indCoindIso · cited by 13Rep.indCoindIsoRep.indToCoindAux · cited by 9Rep.indToCoindAuxRep.indCoindNatIso · cited by 6Rep.indCoindNatIsoRep.indToCoindAux_of_not_rel · cited by 6Rep.indToCoindAux_of_not_…Rep.coindToInd · cited by 6Rep.coindToIndSubgroup.IsComplement.rightQuotientEquiv · cited by 5IsComplement.rightQuotien…Rep.indToCoind · cited by 5Rep.indToCoindQuotientGroup.rightRel_apply · cited by 4QuotientGroup.rightRel_ap…Rep.resIndAdjunction · cited by 4Rep.resIndAdjunctionSubgroup.exists_isComplement_right · cited by 4Subgroup.exists_isComplem…Rep.coindResAdjunction · cited by 4Rep.coindResAdjunctionRep.indToCoindAux_self · cited by 4Rep.indToCoindAux_selfQuotientGroup.quotientRightRelEquivQuotientLeftRel · cited by 3QuotientGroup.quotientRig…Subgroup.isComplement_range_right · cited by 2Subgroup.isComplement_ran…Subgroup.isComplement_subgroup_left_iff_bijective · cited by 2Subgroup.isComplement_sub…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupMulAction.orbitRel · cited by 114MulAction.orbitRelQuotientGroup.rightRelCITED BYCITES

Cites3

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Cited by53

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