Theorems · Inductive type · Lie groups
NonarchimedeanRing
(R : Type u_1) → [Ring R] → [TopologicalSpace R] → Prop
A topological ring is nonarchimedean if its underlying topological additive group is nonarchimedean.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- RingTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Ringstatement · cited by 7,463
Cited by10
Results whose statement or proof uses this declaration.
- HasSum.mul_of_nonarchimedeanstatement and proof · cited by 2
- RingSubgroupsBasis.nonarchimedeanstatement · cited by 1
- Summable.mul_of_nonarchimedeanstatement and proof · cited by 0
- NonarchimedeanRing.casesOnstatement and proof · cited by 0
- NonarchimedeanRing.is_nonarchimedeanstatement and proof · cited by 0
- NonarchimedeanRing.left_mul_subsetstatement and proof · cited by 0
- NonarchimedeanRing.mul_subsetstatement and proof · cited by 0
- NonarchimedeanRing.recOnstatement and proof · cited by 0
- tsum_mul_tsum_of_nonarchimedeanstatement and proof · cited by 0
- Ideal.nonarchimedeanstatement · cited by 0