Theorems · Theorem · general topology
Filter.lim.congr_simp
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : Nonempty X] (f f_1 : Filter X), f = f_1 → f.lim = f_1.lim- Defined in
- Mathlib.Topology.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceNonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Filter.limstatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyMeasurable.limUnderproof · cited by 1