Theorems · Theorem · number theory
Padic.AddValuation.map_add
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (x y : ℚ_[p]), min x.addValuationDef y.addValuationDef ≤ (x + y).addValuationDef- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- WithTopstatement and proof · cited by 3,754
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- le_reflproof · cited by 2,061
- Nat.Primestatement and proof · cited by 2,059
- WithTop.someproof · cited by 1,128
- le_topproof · cited by 411
- Padicstatement and proof · cited by 151
- min_eq_leftproof · cited by 67
- WithTop.coe_le_coeproof · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- Padic.addValuationproof · cited by 1