Theorems · Theorem · field theory
Valued.toNormedField.setOfPred_mem_integer_eq_closedBall
∀ {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 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Set.ofPredstatement and proof · cited by 6,101
- Set.extproof · cited by 2,266
- Metric.closedBallstatement · cited by 704
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- dist_zero_rightproof · cited by 172
- Valued.vstatement and proof · cited by 163
- Valuedstatement and proof · cited by 70
Cited by3
Results whose statement or proof uses this declaration.
- Valued.toNormedField.setOf_mem_integer_eq_closedBallproof · cited by 0
- Valued.integer.properSpace_iff_compactSpace_integerproof · cited by 0