Theorems · Theorem · field theory
Valued.integer.norm_le_one
∀ {K : Type u_1} [inst : NontriviallyNormedField K] [inst_1 : IsUltrametricDist K] (x : ↥(Valued.integer K)), ‖x‖ ≤ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement · cited by 5,413
- NNRealstatement · cited by 4,310
- Subringstatement · cited by 602
- Subtype.propproof · cited by 505
- IsUltrametricDiststatement and proof · cited by 177
- Valued.integerstatement and proof · cited by 22
- NormedField.toValuedstatement · cited by 14
- Valued.integer.mem_iffproof · cited by 1
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