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Theorems · Theorem · order theory

OrderAddMonoidHom.inl_apply

∀ (α : Type u_1) (β : Type u_2) [inst : AddMonoid α] [inst_1 : PartialOrder α] [inst_2 : AddMonoid β]
  [inst_3 : Preorder β] (x : α), (OrderAddMonoidHom.inl α β) x = (x, 0)
Defined in
Mathlib.Algebra.Order.Monoid.Lex
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
AddMonoidPartialOrderAddMonoidPreorder
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Around this declaration

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

OrderAddMonoidHom.inl_add_inr_eq_mk · cited by 0OrderAddMonoidHom.inl_add…DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderPartialOrder · cited by 6410PartialOrderAddMonoid · cited by 2864AddMonoidOrderAddMonoidHom · cited by 80OrderAddMonoidHomOrderAddMonoidHom.inl · cited by 5OrderAddMonoidHom.inlOrderAddMonoidHom.inl_applyCITED BYCITES

Cites6

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Cited by1

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