Theorems · Theorem · order theory

OrderEmbedding.isCoatom_of_map_top_of_image

∀ {α : Type u_2} {β : Type u_3} [inst : PartialOrder α] [inst_1 : PartialOrder β] [inst_2 : OrderTop α]
  [inst_3 : OrderTop β] (f : β ↪o α), f ⊤ = ⊤ → ∀ {b : β}, IsCoatom (f b) → IsCoatom b

Defined in

Mathlib.Order.Atoms

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderPartialOrderOrderTopOrderTop