Theorems · Theorem · field theory
NNRat.cast_eq_zero
∀ {α : Type u_3} [inst : DivisionSemiring α] [CharZero α] {q : ℚ≥0}, ↑q = 0 ↔ q = 0- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 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 and proof · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- NNRat.cast_zeroproof · cited by 6
- NNRat.cast_injproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- NNRat.cast_ne_zeroproof · cited by 0