Theorems · Theorem · order theory

Set.Ioc_add_bij

∀ {M : Type u_1} [inst : AddCommMonoid M] [inst_1 : PartialOrder M] [IsOrderedCancelAddMonoid M] [ExistsAddOfLE M]
  (a b d : M), Set.BijOn (fun x => x + d) (Set.Ioc a b) (Set.Ioc (a + d) (b + d))

Defined in

Mathlib.Algebra.Order.Interval.Set.Monoid

Cited by

1 results in Mathlib

Foundations

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

Assumes

AddCommMonoidPartialOrderIsOrderedCancelAddMonoidExistsAddOfLE