Theorems · Theorem · group theory
leftCoset_assoc
∀ {α : Type u_1} [inst : Semigroup α] (s : Set α) (a b : α), a • b • s = (a * b) • s- Defined in
- Mathlib.GroupTheory.Coset.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- Semigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imageproof · cited by 5,609
- mul_assocproof · cited by 1,667
- Set.smulSetstatement · cited by 608
- Set.image_congrproof · cited by 533
- Semigroupstatement and proof · cited by 202
- Set.image_compproof · cited by 142
Cited by3
Results whose statement or proof uses this declaration.
- GrpCat.SurjectiveOfEpiAuxs.agreeproof · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.h_apply_fromCoset_nin_rangeproof · cited by 1
- GrpCat.SurjectiveOfEpiAuxs.mul_smulproof · cited by 0