Theorems · Theorem · number theory
Mathlib.Meta.NormNum.IsNNRat.natCeil
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
(r : R) (n d : ℕ),
Mathlib.Meta.NormNum.IsNNRat r n d → ∀ (res : ℕ), ⌈↑n / ↑d⌉₊ = res → Mathlib.Meta.NormNum.IsNat ⌈r⌉₊ res- Defined in
- Mathlib.Data.NNRat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- NNRatstatement · cited by 523
- Semifieldstatement and proof · cited by 439
- FloorSemiringstatement and proof · cited by 179
- Nat.ceilstatement and proof · cited by 141
- NNRat.cast_natCastproof · cited by 31
- NNRat.cast_divproof · cited by 7
- NNRat.ceil_castproof · cited by 1
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