Theorems · Theorem · order theory
OrderAddMonoidIso.cancel_left
∀ {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 : Add α] [inst_4 : Add β] [inst_5 : Add γ] {g : α ≃+o β} {f₁ f₂ : β ≃+o γ},
Function.Surjective ⇑g → (g.trans f₁ = g.trans f₂ ↔ f₁ = f₂)- Defined in
- Mathlib.Algebra.Order.Hom.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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Cites7
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- DFunLike.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- Function.Surjective.forallproof · cited by 214
- DFunLike.ext_iffproof · cited by 102
- OrderAddMonoidIsostatement and proof · cited by 58
- OrderAddMonoidIso.transstatement and proof · cited by 9
- OrderAddMonoidIso.extproof · cited by 5
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