Theorems · Theorem · order theory
OrderMonoidIso.cancel_right
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Preorder γ]
[inst_3 : Mul α] [inst_4 : Mul β] [inst_5 : Mul γ] {g₁ g₂ : α ≃*o β} {f : β ≃*o γ},
Function.Injective ⇑f → (g₁.trans f = g₂.trans f ↔ g₁ = g₂)- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites6
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
- OrderMonoidIsostatement and proof · cited by 114
- OrderMonoidIso.transstatement and proof · cited by 11
- OrderMonoidIso.extproof · cited by 7
- OrderMonoidIso.trans_applyproof · cited by 1
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