Theorems · Theorem · number theory
NNRat.mul_den_eq_num
∀ (q : ℚ≥0), q * ↑q.den = ↑q.num
- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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.num_coeproof · cited by 14
- Rat.mul_den_eq_numproof · cited by 8
- NNRat.den_coeproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- DivisibleHull.nnqsmul_mkproof · cited by 1
- NNRat.den_mul_eq_numproof · cited by 0