Theorems · Theorem · order theory
QuotientAddGroup.equivIocMod.congr_simp
∀ {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), QuotientAddGroup.equivIocMod hp a = QuotientAddGroup.equivIocMod hp a- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- Set.Elemstatement · cited by 7,166
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Iocstatement · cited by 971
- Archimedeanstatement and proof · cited by 603
- AddSubgroup.zmultiplesstatement · cited by 493
- QuotientAddGroup.equivIocModstatement and proof · cited by 5
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