Theorems · Theorem · field theory
NNRat.cast_mul
∀ {α : Type u_3} [inst : DivisionSemiring α] [CharZero α] (p q : ℚ≥0), ↑(p * q) = ↑p * ↑q- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiringCharZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.ne'proof · cited by 1,417
- CharZerostatement and proof · cited by 932
- NNRatstatement and proof · cited by 523
- NNRat.caststatement · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- Nat.cast_ne_zeroproof · cited by 113
- NNRat.den_posproof · cited by 6
- NNRat.cast_mul_of_ne_zeroproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- NNRat.castHomproof · cited by 10
- Finset.card_mul_cast_addConstproof · cited by 0
- Finset.cast_addConst_mul_cardproof · cited by 0
- Finset.card_mul_cast_subConstproof · cited by 0
- Finset.expect_indicator_oneproof · cited by 0
- Finset.cast_subConst_mul_cardproof · cited by 0