Theorems · Theorem · field theory
NNRat.cast_inv
∀ {α : Type u_3} [inst : DivisionSemiring α] [CharZero α] (p : ℚ≥0), ↑p⁻¹ = (↑p)⁻¹- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 5 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_inv₀proof · cited by 106
- NNRat.castHomproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- RCLike.wInner_cWeight_eq_expectproof · cited by 4
- Finset.expect_eq_sum_div_cardproof · cited by 2
- RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zeroproof · cited by 1
- RCLike.wInner_cWeight_eq_smul_wInner_oneproof · cited by 1
- Finset.expect_indicator_oneproof · cited by 0