Theorems · Theorem · field theory
nnqsmul_nonneg
∀ {α : Type u_1} [inst : Semifield α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] {a : α} (q : ℚ≥0),
0 ≤ a → 0 ≤ q • a- Defined in
- Mathlib.Algebra.Order.Nonneg.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 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
- NNRatstatement and proof · cited by 523
- Semifieldstatement and proof · cited by 439
- mul_nonnegproof · cited by 397
- NNRat.smul_defproof · cited by 7
- NNRat.cast_nonnegproof · cited by 6
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