Theorems · Theorem · commutative algebra
Valuation.toUniformSpace_eq
∀ {R : Type u_1} [inst : Ring R] [inst_1 : ValuativeRel R] {Γ₀ : Type u_3} [inst_2 : LinearOrderedCommGroupWithZero Γ₀]
[_u : UniformSpace R] [IsUniformAddGroup R] [IsValuativeTopology R] (v : Valuation R Γ₀) [v.Compatible],
_u = IsTopologicalAddGroup.rightUniformSpace R- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Filterproof · cited by 8,121
- Ringstatement and proof · cited by 7,463
- Set.ofPredproof · cited by 6,101
- nhdsproof · cited by 5,554
- Set.preimageproof · cited by 4,946
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- UniformSpacestatement and proof · cited by 2,040
Cited by2
Results whose statement or proof uses this declaration.
- Valuation.cauchy_iffproof · cited by 0
- Valuation.toTopologicalSpace_eqproof · cited by 0