Theorems · Theorem · number theory
padicValRat.inv
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (q : ℚ), padicValRat p q⁻¹ = -padicValRat p qA rewrite lemma for padicValRat p (q⁻¹).
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- neg_zeroproof · cited by 542
- inv_mul_cancel₀proof · cited by 267
- inv_zeroproof · cited by 184
- inv_ne_zeroproof · cited by 99
- padicValRatstatement and proof · cited by 49
- eq_neg_iff_add_eq_zeroproof · cited by 32
- padicValRat.zeroproof · cited by 5
- padicValRat.mulproof · cited by 5
- padicValRat.oneproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- padicValRat_two_harmonicproof · cited by 2
- padicValRat.zpowproof · cited by 0
- Rat.surjective_padicValuationproof · cited by 0
- padicValRat.divproof · cited by 0
- padicValRat.self_pow_invproof · cited by 0