Theorems · Theorem · number theory
Rat.toNNRat_mul
∀ {p q : ℚ}, 0 ≤ p → (p * q).toNNRat = p.toNNRat * q.toNNRat- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 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.
- MulZeroClass.mul_zeroproof · cited by 2,091
- NNRatstatement and proof · cited by 523
- le_totalproof · cited by 294
- NNRat.castproof · cited by 235
- sup_of_le_leftproof · cited by 218
- Rat.toNNRatstatement and proof · cited by 29
- mul_nonpos_of_nonneg_of_nonposproof · cited by 21
- NNRat.extproof · cited by 18
- Rat.toNNRat_eq_zeroproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Rat.toNNRat_divproof · cited by 0
- Rat.toNNRat_div'proof · cited by 0