Theorems · Inductive type · general algebraic systems
RightCommutative
{α : Sort u} → {β : Sort v} → (β → α → β) → PropRightCommutative op where op : β → α → β says that op is a right-commutative operation,
i.e. op (op b a₁) a₂ = op (op b a₂) a₁.
- Defined in
- Mathlib.Logic.OpClass
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by20
Results whose statement or proof uses this declaration.
- Multiset.foldlstatement and proof · cited by 13
- List.foldl_cons_eq_apply_foldlstatement and proof · cited by 4
- RightCommutative.right_commstatement and proof · cited by 2
- Multiset.foldl.congr_simpstatement and proof · cited by 1
- List.foldr_flip_eq_foldlstatement and proof · cited by 1
- List.Perm.foldl_eqstatement and proof · cited by 1
- Multiset.foldl_consstatement and proof · cited by 1
- Multiset.foldl_induction'statement and proof · cited by 1
- Multiset.foldl_swapstatement and proof · cited by 1
- List.foldl_eq_foldr'statement · cited by 0
- List.foldl_eq_of_comm'statement · cited by 0
- List.foldl_eq_of_comm_of_assocstatement · cited by 0