Theorems · Theorem · order theory
OrderMonoidIso.ext
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Mul α] [inst_3 : Mul β]
{f g : α ≃*o β}, (∀ (a : α), f a = g a) → f = g- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- DFunLike.extproof · cited by 240
- OrderMonoidIsostatement and proof · cited by 114
Cited by7
Results whose statement or proof uses this declaration.
- OrderMonoidIso.toOrderIso_injectiveproof · cited by 0
- Valuation.IsEquiv.orderMonoidIso_transproof · cited by 0
- OrderMonoidIso.cancel_leftproof · cited by 0
- OrderMonoidIso.cancel_rightproof · cited by 0
- OrderMonoidIso.ext_iffproof · cited by 0
- OrderMonoidIso.toMulEquiv_injectiveproof · cited by 0
- Valuation.IsEquiv.orderMonoidIso_eq_reflproof · cited by 0