Theorems · Theorem · commutative algebra
Valuation.toTopologicalSpace_eq
∀ {R : Type u_1} [inst : Ring R] [inst_1 : ValuativeRel R] {Γ₀ : Type u_3} [inst_2 : LinearOrderedCommGroupWithZero Γ₀]
[_t : TopologicalSpace R] [IsValuativeTopology R] (v : Valuation R Γ₀) [v.Compatible], _t = ⋯.topology- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Ringstatement and proof · cited by 7,463
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- UniformSpaceproof · cited by 2,040
- Valuationstatement and proof · cited by 823
- MonoidWithZeroHomstatement · cited by 704
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- IsUniformAddGroupproof · cited by 342
- MonoidHomClass.toMonoidHomstatement · cited by 294
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