Theorems · Theorem · order theory

OrderEmbedding.preimage_uIcc

∀ {α : Type u_1} {β : Type u_2} [inst : LinearOrder α] [inst_1 : Lattice β] (e : α ↪o β) (x y : α),
  ⇑e ⁻¹' Set.uIcc (e x) (e y) = Set.uIcc x y

Defined in

Mathlib.Order.Interval.Set.OrderEmbedding

Cited by

2 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

LinearOrderLattice