Theorems · Theorem · number theory
NNRat.cast_nonpos
∀ {K : Type u_5} [inst : Semifield K] [inst_1 : LinearOrder K] [IsStrictOrderedRing K] {q : ℚ≥0}, ↑q ≤ 0 ↔ q ≤ 0- Defined in
- Mathlib.Data.Rat.Cast.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 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
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Nat.cast_zeroproof · cited by 1,870
- NNRatstatement and proof · cited by 523
- Semifieldstatement and proof · cited by 439
- NNRat.caststatement and proof · cited by 235
- NNRat.cast_zeroproof · cited by 6
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