Theorems · Theorem · Lie groups
RingTopology.ext
∀ {R : Type u_1} [inst : Ring R] {f g : RingTopology R}, TopologicalSpace.IsOpen = TopologicalSpace.IsOpen → f = g- Defined in
- Mathlib.Topology.Algebra.Ring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Ringstatement and proof · cited by 7,463
- TopologicalSpace.IsOpenstatement and proof · cited by 25
- TopologicalSpace.extproof · cited by 15
- RingTopologystatement and proof · cited by 8
- RingTopology.toTopologicalSpacestatement · cited by 5
- RingTopology.toTopologicalSpace_injectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RingTopology.ext_iffproof · cited by 0