Theorems · Inductive type · general algebraic systems
IsSymmOp
{α : Sort u} → {β : Sort v} → (α → α → β) → PropIsSymmOp op where op : α → α → β says that op is a symmetric operation,
i.e. op a b = op b a.
It is the natural generalisation of Std.Commutative (β = α) and IsSymm (β = Prop).
- Defined in
- Mathlib.Logic.OpClass
- Cited by
- 2 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 by4
Results whose statement or proof uses this declaration.
- IsSymmOp.symm_opstatement and proof · cited by 1
- IsSymmOp.casesOnstatement and proof · cited by 0
- IsSymmOp.flip_eqstatement and proof · cited by 0
- IsSymmOp.recOnstatement and proof · cited by 0