Theorems · Theorem · field theory
NNRat.cast_nonneg
∀ {α : Type u_1} [inst : Semifield α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] (q : ℚ≥0), 0 ≤ ↑q- Defined in
- Mathlib.Algebra.Order.Nonneg.Field
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- NNRat.caststatement · cited by 235
- Nat.cast_nonnegproof · cited by 109
- div_nonnegproof · cited by 103
- NNRat.numproof · cited by 53
- NNRat.denproof · cited by 51
- NNRat.cast_defproof · cited by 17
Cited by6
Results whose statement or proof uses this declaration.
- RCLike.norm_nnratCastproof · cited by 2
- Complex.norm_nnratCastproof · cited by 1
- Real.norm_nnratCastproof · cited by 1
- nnqsmul_nonnegproof · cited by 0
- NNRat.floor_castproof · cited by 0
- Nonneg.mk_nnratCaststatement · cited by 0