Theorems · Theorem · number theory
Mathlib.Meta.NormNum.IsNat.natCeil
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R] (r : R)
(m : ℕ), Mathlib.Meta.NormNum.IsNat r m → Mathlib.Meta.NormNum.IsNat ⌈r⌉₊ m- Defined in
- Mathlib.Data.NNRat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- LinearOrderstatement and proof · cited by 8,572
- IsStrictOrderedRingstatement and proof · cited by 2,490
- FloorSemiringstatement and proof · cited by 179
- Nat.ceilstatement · cited by 141
- Nat.ceil_natCastproof · cited by 6
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