Theorems · Theorem · group theory
leftAddCoset_assoc
∀ {α : Type u_1} [inst : AddSemigroup α] (s : Set α) (a b : α), a +ᵥ b +ᵥ s = (a + b) +ᵥ s- Defined in
- Mathlib.GroupTheory.Coset.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- AddSemigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- HVAdd.hVAddstatement and proof · cited by 1,820
- add_assocproof · cited by 746
- Set.image_congrproof · cited by 533
- Set.vaddSetstatement · cited by 403
- Set.image_compproof · cited by 142
- AddSemigroupstatement and proof · cited by 136
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.leftCoset_cover_filter_FiniteIndex_auxproof · cited by 3