Theorems · Theorem · order theory

Multiset.Ico_filter_lt_of_le_right

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

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

PreorderLocallyFiniteOrderDecidablePred