Theorems · Theorem · number theory
NNRat.den_pos
∀ (q : ℚ≥0), 0 < q.den
- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRatstatement and proof · cited by 523
- NNRat.castproof · cited by 235
- NNRat.denstatement · cited by 51
Cited by6
Results whose statement or proof uses this declaration.
- NNRat.cast_mulproof · cited by 5
- NNRat.addSubmonoid_closure_range_powproof · cited by 2
- DivisibleHull.nnqsmul_mkstatement and proof · cited by 1
- DivisibleHull.qsmul_mkproof · cited by 1
- Rat.cast_nnratCastproof · cited by 1
- NNRat.cast_addproof · cited by 0