Theorems · Theorem · field theory
Valued.toNormedField.setOf_mem_integer_eq_closedBall
Deprecated since 2026-07-09Use Valued.toNormedField.setOfPred_mem_integer_eq_closedBall instead.
∀ {L : Type u_1} [inst : Field L] {Γ₀ : Type u_2} [inst_1 : LinearOrderedCommGroupWithZero Γ₀] [val : Valued L Γ₀]
[hv : Valued.v.RankOne], {x | x ∈ Valued.v.integer} = Metric.closedBall 0 1Alias of Valued.toNormedField.setOfPred_mem_integer_eq_closedBall.
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- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Fieldstatement · cited by 7,404
- Set.ofPredstatement · cited by 6,101
- Metric.closedBallstatement · cited by 704
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement · cited by 528
- Valued.vstatement · cited by 163
- Valuedstatement · cited by 70
- Valuation.integerstatement · cited by 68
- Valuation.RankOnestatement · cited by 32
- Valued.toNormedFieldstatement · cited by 13
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