Theorems · Theorem · group theory
mem_own_leftAddCoset
∀ {α : Type u_1} [inst : AddMonoid α] (s : AddSubmonoid α) (a : α), a ∈ a +ᵥ ↑s- Defined in
- Mathlib.GroupTheory.Coset.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddSubmonoidstatement and proof · cited by 1,178
- Set.vaddSetstatement · cited by 403
- ZeroMemClass.zero_memproof · cited by 162
- mem_leftAddCosetproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- mem_leftAddCoset_leftAddCosetproof · cited by 0