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Theorems · Theorem · order theory

OrderEmbedding.map_inf_le

∀ {α : Type u_2} {β : Type u_3} [inst : SemilatticeInf α] [inst_1 : SemilatticeInf β] (f : α ↪o β) (x y : α),
  f (x ⊓ y) ≤ f x ⊓ f y
Defined in
Mathlib.Order.Hom.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
SemilatticeInfSemilatticeInf
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Around this declaration

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

OrderIso.map_inf · cited by 17OrderIso.map_infDFunLike.coe · cited by 62936DFunLike.coeSemilatticeInf · cited by 634SemilatticeInfOrderEmbedding · cited by 619OrderEmbeddingOrderEmbedding.monotone · cited by 26OrderEmbedding.monotoneMonotone.map_inf_le · cited by 19Monotone.map_inf_leOrderEmbedding.map_inf_leCITED BYCITES

Cites5

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Cited by1

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