Theorems · Theorem · order theory

Multiset.Ico_filter_le_left

∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] {a b : α}
  [inst_2 : DecidablePred fun x => x ≤ a], a < b → Multiset.filter (fun x => x ≤ a) (Multiset.Ico a b) = {a}

Defined in

Mathlib.Order.Interval.Multiset

Cited by

0 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderLocallyFiniteOrderDecidablePred