Theorems · Theorem · number theory
padicNorm.neg
∀ {p : ℕ} (q : ℚ), padicNorm p (-q) = padicNorm p qpadicNorm p is symmetric.
- Defined in
- Mathlib.NumberTheory.Padics.PadicNorm
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- neg_zeroproof · cited by 542
- zpow_negproof · cited by 198
- padicNormstatement and proof · cited by 83
- padicValRatproof · cited by 49
- padicNorm.zeroproof · cited by 11
- padicValRat.negproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- PadicSeq.norm_negproof · cited by 1
- PadicSeq.stationaryproof · cited by 1
- padicNorm.subproof · cited by 0