Theorems · Theorem · number theory
NNRat.num_div_den
∀ (q : ℚ≥0), ↑q.num / ↑q.den = q
- Defined in
- Mathlib.Algebra.Field.Rat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRatstatement and proof · cited by 523
- Int.cast_natCastproof · cited by 393
- NNRat.castproof · cited by 235
- NNRat.numstatement and proof · cited by 53
- NNRat.denstatement and proof · cited by 51
- NNRat.extproof · cited by 18
- NNRat.cast_defproof · cited by 17
- NNRat.coe_divproof · cited by 1
- NNRat.coe_natCastproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- NNRat.addSubmonoid_closure_range_powproof · cited by 2
- MonoidWithZeroHomClass.ext_nnrat'proof · cited by 2
- NNRat.cast_injectiveproof · cited by 1