Theorems · Theorem · general algebraic systems
RightCommutative.right_comm
∀ {α : Sort u} {β : Sort v} {op : β → α → β} [self : RightCommutative op] (b : β) (a₁ a₂ : α),
op (op b a₁) a₂ = op (op b a₂) a₁A right-commutative operation satisfies op (op b a₁) a₂ = op (op b a₂) a₁.
- Defined in
- Mathlib.Logic.OpClass
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- RightCommutative
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RightCommutativestatement and proof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- List.foldl_cons_eq_apply_foldlproof · cited by 4
- List.Perm.foldl_eqproof · cited by 1