Theorems · Theorem · commutative algebra
RingSubgroupsBasis.nonarchimedean
∀ {A : Type u_1} {ι : Type u_2} [inst : Ring A] [inst_1 : Nonempty ι] {B : ι → AddSubgroup A}
(hB : RingSubgroupsBasis B), NonarchimedeanRing A- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpaceproof · cited by 24,529
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- nhdsproof · cited by 5,554
- AddSubgroupstatement and proof · cited by 3,232
- Filter.HasBasis.mem_iffproof · cited by 193
- RingSubgroupsBasisstatement and proof · cited by 12
- NonarchimedeanRingstatement · cited by 8
- RingSubgroupsBasis.topologystatement and proof · cited by 6
- RingSubgroupsBasis.hasBasis_nhds_zeroproof · cited by 3
- RingSubgroupsBasis.openAddSubgroupproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.nonarchimedeanproof · cited by 0