Theorems · Theorem · field theory
NNRat.cast_inv_of_ne_zero
∀ {α : Type u_3} [inst : DivisionSemiring α] {q : ℚ≥0}, ↑q.num ≠ 0 → ↑q⁻¹ = (↑q)⁻¹- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiring
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.
- NNRatstatement and proof · cited by 523
- NNRat.caststatement and proof · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- inv_divproof · cited by 92
- NNRat.numstatement and proof · cited by 53
- NNRat.denproof · cited by 51
- NNRat.cast_defproof · cited by 17
- NNRat.cast_divNat_of_ne_zeroproof · cited by 4
- NNRat.inv_defproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- NNRat.cast_zpow_of_ne_zeroproof · cited by 0