Theorems · Theorem · general topology
generateFrom_sUnion
∀ {α : Type u} {S : Set (Set (Set α))}, TopologicalSpace.generateFrom (⋃₀ S) = ⨅ s ∈ S, TopologicalSpace.generateFrom s- Defined in
- Mathlib.Topology.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- iInfstatement · cited by 1,690
- Set.sUnionstatement · cited by 392
- TopologicalSpace.generateFromstatement · cited by 62
- GaloisConnection.u_sInfproof · cited by 11
- TopologicalSpace.gc_generateFromproof · cited by 6
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