Theorems · Theorem · field theory
Valuation.norm_add_le
∀ {L : Type u_1} [inst : Field L] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation L Γ₀)
[hv : v.RankOne] (x y : L), v.norm (x + y) ≤ max (v.norm x) (v.norm y)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MonoidWithZeroHom.ofClassproof · cited by 204
- MonoidWithZeroHom.ValueGroup₀proof · cited by 166
- Valuation.restrictproof · cited by 112
- StrictMono.le_iff_leproof · cited by 104
- Valuation.RankOnestatement and proof · cited by 32
- le_max_iffproof · cited by 26
- Valuation.RankOne.strictMonoproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Valued.isNonarchimedean_normproof · cited by 0