Theorems · Theorem · order theory

toIcoMod.congr_simp

∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedAddMonoid α] [hα : Archimedean α]
  {p p_1 : α} (e_p : p = p_1) (hp : 0 < p) (a a_1 : α),
  a = a_1 → ∀ (b b_1 : α), b = b_1 → toIcoMod hp a b = toIcoMod ⋯ a_1 b_1

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

25 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean