Theorems · Theorem · number theory
NNRat.mul_def
∀ (q r : ℚ≥0), q * r = NNRat.divNat (q.num * r.num) (q.den * r.den)
- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 1 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
- Nat.cast_mulproof · cited by 309
- 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.divNatstatement · cited by 17
- NNRat.num_coeproof · cited by 14
- Rat.mul_eq_mkRatproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- NNRat.cast_mul_of_ne_zeroproof · cited by 1