Theorems · Theorem · field theory
NNRat.cast_div
∀ {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
- 7 results in Mathlib
- Foundations
- Depth 93 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CharZerostatement and proof · cited by 932
- NNRatstatement and proof · cited by 523
- NNRat.caststatement · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- map_div₀proof · cited by 98
- NNRat.castHomproof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- NNRat.cast_divNatproof · cited by 0
- Finset.cast_addConstproof · cited by 0
- Mathlib.Meta.NormNum.IsNNRat.natCeilproof · cited by 0
- Finset.cast_divConstproof · cited by 0
- Finset.cast_mulConstproof · cited by 0
- Finset.cast_subConstproof · cited by 0
- Finset.nnratCast_densproof · cited by 0