Theorems · Theorem · field theory
NNRat.cast_divNat
∀ {α : Type u_3} [inst : DivisionSemiring α] [CharZero α] (a b : ℕ), ↑(NNRat.divNat a b) = ↑a / ↑b- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiringCharZero
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CharZerostatement and proof · cited by 932
- NNRatproof · cited by 523
- NNRat.caststatement and proof · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- NNRat.cast_natCastproof · cited by 31
- NNRat.extproof · cited by 18
- NNRat.divNatstatement and proof · cited by 17
- NNRatCastproof · cited by 11
- NNRat.cast_divproof · cited by 7
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