Theorems · Theorem · order theory
toIocMod_eq_sub_fract_mul
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] [inst_3 : FloorRing α]
{p : α} (hp : 0 < p) (a b : α), toIocMod hp a b = a + p - Int.fract ((a + p - b) / p) * p- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- IsStrictOrderedRingstatement and proof · cited by 2,490
- one_ne_zeroproof · cited by 885
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- FloorRingstatement and proof · cited by 405
- neg_smulproof · cited by 306
- sub_neg_eq_addproof · cited by 264
- Int.floorproof · cited by 225
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