Theorems · Theorem · field theory
Valued.integer.isUnit_iff_norm_eq_one
∀ {K : Type u_1} [inst : NontriviallyNormedField K] [inst_1 : IsUltrametricDist K] {u : ↥(Valued.integer K)},
IsUnit u ↔ ‖u‖ = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- IsUnitstatement and proof · cited by 1,602
- Subringstatement · cited by 602
- IsUltrametricDiststatement and proof · cited by 177
- Valued.integerstatement and proof · cited by 22
- Valuation.integer.integersproof · cited by 17
- NormedField.toValuedstatement · cited by 14
- Valuation.Integers.isUnit_iff_valuation_eq_oneproof · cited by 8
- NormedField.valuationproof · cited by 6
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