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Theorems · Theorem · order theory

OrderAddMonoidIso.ext

∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Add α] [inst_3 : Add β]
  {f g : α ≃+o β}, (∀ (a : α), f a = g a) → f = g
Defined in
Mathlib.Algebra.Order.Hom.Monoid
Cited by
5 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
PreorderPreorderAddAdd
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Around this declaration

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

OrderAddMonoidIso.toOrderIso_injective · cited by 0OrderAddMonoidIso.toOrder…OrderAddMonoidIso.toAddEquiv_injective · cited by 0OrderAddMonoidIso.toAddEq…OrderAddMonoidIso.cancel_left · cited by 0OrderAddMonoidIso.cancel_…OrderAddMonoidIso.cancel_right · cited by 0OrderAddMonoidIso.cancel_…OrderAddMonoidIso.ext_iff · cited by 0OrderAddMonoidIso.ext_iffDFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderDFunLike.ext · cited by 240DFunLike.extOrderAddMonoidIso · cited by 58OrderAddMonoidIsoOrderAddMonoidIso.extCITED BYCITES

Cites4

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Cited by5

Results whose statement or proof uses this declaration.