Theorems · Inductive type · Lie groups
RingTopology
(R : Type u) → [Ring R] → Type u
A ring topology on a ring R is a topology for which addition, negation and multiplication
are continuous.
- Defined in
- Mathlib.Topology.Algebra.Ring.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement · cited by 7,463
Cited by19
Results whose statement or proof uses this declaration.
- RingTopology.toTopologicalSpacestatement and proof · cited by 5
- RingTopology.toTopologicalSpace_injectivestatement and proof · cited by 1
- RingTopology.mk.injstatement · cited by 1
- RingTopology.mk.noConfusionstatement · cited by 1
- RingTopology.casesOnstatement and proof · cited by 1
- RingTopology.coinducedstatement and proof · cited by 1
- RingTopology.extstatement and proof · cited by 1
- RingTopology.recOnstatement and proof · cited by 0
- RingTopology.toAddGroupTopologystatement and proof · cited by 0
- RingTopology.toIsTopologicalRingstatement and proof · cited by 0
- RingTopology.mk.injEqstatement · cited by 0
- RingTopology.mk.sizeOf_specstatement · cited by 0