Theorems · Theorem · number theory
Mathlib.Meta.NormNum.IsInt.natCeil
∀ {R : Type u_1} [inst : Ring R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R] (r : R)
(m : ℕ), Mathlib.Meta.NormNum.IsInt r (Int.negOfNat m) → Mathlib.Meta.NormNum.IsNat ⌈r⌉₊ 0- Defined in
- Mathlib.Data.NNRat.Floor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Ringstatement and proof · cited by 7,463
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Nat.cast_zeroproof · cited by 1,870
- FloorSemiringstatement and proof · cited by 179
- Nat.ceilstatement and proof · cited by 141
- Int.cast_negOfNatproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.