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Theorems · Theorem · order theory

OrderMonoidHom.inr_apply

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

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

OrderMonoidHom.inl_mul_inr_eq_mk · cited by 0OrderMonoidHom.inl_mul_in…DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderPartialOrder · cited by 6410PartialOrderMonoid · cited by 3887MonoidOrderMonoidHom · cited by 67OrderMonoidHomOrderMonoidHom.inr · cited by 5OrderMonoidHom.inrOrderMonoidHom.inr_applyCITED BYCITES

Cites6

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Cited by1

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