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Theorems · Theorem · order theory

OrderEmbedding.le_map_sup

∀ {α : Type u_2} {β : Type u_3} [inst : SemilatticeSup α] [inst_1 : SemilatticeSup β] (f : α ↪o β) (x y : α),
  f x ⊔ f y ≤ f (x ⊔ y)
Defined in
Mathlib.Order.Hom.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
SemilatticeSupSemilatticeSup
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Around this declaration

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

OrderIso.map_sup · cited by 37OrderIso.map_supDFunLike.coe · cited by 62936DFunLike.coeSemilatticeSup · cited by 785SemilatticeSupOrderEmbedding · cited by 619OrderEmbeddingOrderEmbedding.monotone · cited by 26OrderEmbedding.monotoneMonotone.le_map_sup · cited by 11Monotone.le_map_supOrderEmbedding.le_map_supCITED BYCITES

Cites5

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Cited by1

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