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Theorems · Theorem · general algebraic systems

IsSymmOp.symm_op

∀ {α : Sort u} {β : Sort v} {op : α → α → β} [self : IsSymmOp op] (a b : α), op a b = op b a

A symmetric operation satisfies op a b = op b a.

Defined in
Mathlib.Logic.OpClass
Cited by
1 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
IsSymmOp
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsSymmOp.flip_eq · cited by 0IsSymmOp.flip_eqIsSymmOp · cited by 2IsSymmOpIsSymmOp.symm_opCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • IsSymmOpstatement and proof · cited by 2

Cited by1

Results whose statement or proof uses this declaration.