Theorems · Theorem · number theory
PadicSeq.add_eq_max_of_ne
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {f g : PadicSeq p}, f.norm ≠ g.norm → (f + g).norm = max f.norm g.norm- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 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.
Cites20
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
- sub_zeroproof · cited by 938
- add_sub_cancel_leftproof · cited by 198
- add_sub_cancel_rightproof · cited by 187
- max_eq_leftproof · cited by 96
- padicNormstatement and proof · cited by 83
- max_eq_rightproof · cited by 79
- CauSeq.LimZeroproof · cited by 46
- PadicSeqstatement and proof · cited by 30
- PadicSeq.normstatement and proof · cited by 20
- PadicSeq.stationaryPointproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- padicNormE.add_eq_max_of_ne'proof · cited by 1