Theorems · Theorem · group theory
QuotientGroup.leftRel_eq
∀ {α : Type u_1} [inst : Group α] (s : Subgroup α), ⇑(QuotientGroup.leftRel s) = fun x y => x⁻¹ * y ∈ s- Defined in
- Mathlib.GroupTheory.Coset.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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.
Cites4
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.leftRelstatement · cited by 61
- QuotientGroup.leftRel_applyproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- QuotientGroup.leftRel_r_eq_leftCosetEquivalenceproof · cited by 0