Theorems · Theorem · order theory
Mathlib.Meta.NormNum.IsInt.natFloor
∀ {R : Type u_3} [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.Algebra.Order.Floor.Semifield
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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.floorstatement · cited by 215
- FloorSemiringstatement and proof · cited by 179
- Nat.floor_of_nonposproof · cited by 9
- Int.cast_negOfNatproof · cited by 3
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