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Theorems · Definition · group theory

QuotientGroup.quotientRightRelEquivQuotientLeftRel

{α : Type u_1} → [inst : Group α] → (s : Subgroup α) → Quotient (QuotientGroup.rightRel s) ≃ α ⧸ s

Right cosets are in bijection with left cosets.

Defined in
Mathlib.GroupTheory.Coset.Defs
Cited by
3 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

QuotientGroup.card_quotient_rightRel · cited by 1QuotientGroup.card_quotie…Subgroup.IsComplement.card_right · cited by 1IsComplement.card_rightSubgroup.IsComplement.finite_right_iff · cited by 1IsComplement.finite_right…Equiv · cited by 8337EquivGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupHasQuotient.Quotient · cited by 2301HasQuotient.QuotientQuotientGroup.rightRel · cited by 44QuotientGroup.rightRelQuotient.map' · cited by 18Quotient.map'QuotientGroup.quotientRightRe…CITED BYCITES

Cites6

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Cited by3

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