Theorems · Theorem · group theory
AddCommute.right_comm
∀ {S : Type u_3} [inst : AddSemigroup S] {b c : S}, AddCommute b c → ∀ (a : S), a + b + c = a + c + b- Defined in
- Mathlib.Algebra.Group.Commute.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- AddSemigroup
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.
- add_assocproof · cited by 746
- AddCommutestatement and proof · cited by 185
- AddSemigroupstatement and proof · cited by 136
- AddCommute.eqproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- AddCommute.sub_eq_sub_iff_of_isAddUnitproof · cited by 1