Theorems · Theorem · order theory
OrderMonoidIso.symm_symm
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Mul α] [inst_3 : Mul β]
(f : α ≃*o β), f.symm.symm = f- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- OrderMonoidIsostatement and proof · cited by 114
- OrderMonoidIso.symmstatement · cited by 44
Cited by1
Results whose statement or proof uses this declaration.
- OrderMonoidIso.symm_bijectiveproof · cited by 0