Theorems · Theorem · number theory
Rat.isNNRat_intFract_of_isNNRat
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] [inst_3 : FloorRing α] (r : α)
(n d : ℕ), Mathlib.Meta.NormNum.IsNNRat r n d → Mathlib.Meta.NormNum.IsNNRat (Int.fract r) (n % d) d- Defined in
- Mathlib.Data.Rat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Invertibleproof · cited by 549
- FloorRingstatement and proof · cited by 405
- Invertible.invOfproof · cited by 268
- Int.fractstatement and proof · cited by 114
- invOf_eq_invproof · cited by 42
- Int.fract_div_natCast_eq_div_natCast_modproof · cited by 3
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