Theorems · Theorem · order theory

QuotientAddGroup.equivIocMod_symm_apply

∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedAddMonoid α] [hα : Archimedean α]
  {p : α} (hp : 0 < p) (a : α) (x : ↑(Set.Ioc a (a + p))), (QuotientAddGroup.equivIocMod hp a).symm x = ↑↑x

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean