Theorems · Theorem · field theory
Rat.cast_inv
∀ {α : Type u_3} [inst : DivisionRing α] [CharZero α] (p : ℚ), ↑p⁻¹ = (↑p)⁻¹- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingCharZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement and proof · cited by 1,062
- CharZerostatement and proof · cited by 932
- map_inv₀proof · cited by 106
- Rat.castHomproof · cited by 33
Cited by22
Results whose statement or proof uses this declaration.
- PeriodPair.ω₁_div_two_notMem_latticeproof · cited by 10
- Padic.norm_pproof · cited by 5
- Irrational.of_invproof · cited by 5
- Real.exists_isLUBproof · cited by 3
- Rat.round_castproof · cited by 3
- Real.strictMono_eulerMascheroniSeqproof · cited by 3
- Real.strictAnti_eulerMascheroniSeq'proof · cited by 2
- ZetaAsymptotics.termSum_oneproof · cited by 2
- irrational_div_ratCast_iffproof · cited by 2
- Real.deriv_Gamma_natproof · cited by 2
- Rat.AbsoluteValue.equiv_padic_of_boundedproof · cited by 1
- GaussianInt.toComplex_re_divproof · cited by 1