Theorems · Theorem · order theory

Finset.Ioc_insert_left

∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] {a b : α} [inst_2 : DecidableEq α],
  a ≤ b → insert a (Finset.Ioc a b) = Finset.Icc a b

Defined in

Mathlib.Order.Interval.Finset.Basic

Cited by

1 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderLocallyFiniteOrderDecidableEq