Theorems · Theorem · number theory
Rat.IsRat.isInt_round
∀ {R : Type u_3} [inst : Field R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorRing R] (r : R)
(n : ℤ) (d : ℕ) (res : ℤ),
round (↑n / ↑d) = res → Mathlib.Meta.NormNum.IsRat r n d → Mathlib.Meta.NormNum.IsInt (round r) res- Defined in
- Mathlib.Data.Rat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
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
- div_eq_mul_invproof · cited by 715
- Invertibleproof · cited by 549
- FloorRingstatement and proof · cited by 405
- Int.cast_natCastproof · cited by 393
- Invertible.invOfproof · cited by 268
- roundstatement and proof · cited by 49
- invOf_eq_invproof · cited by 42
- Rat.round_castproof · cited by 3
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