Theorems · Theorem · general topology
generateFrom_inter
∀ {α : Type u} (a b : TopologicalSpace α), TopologicalSpace.generateFrom ({s | IsOpen s} ∩ {s | IsOpen s}) = a ⊔ b- 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 · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement · cited by 6,101
- IsOpenstatement · cited by 2,400
- TopologicalSpace.generateFromstatement · cited by 62
- GaloisCoinsertion.u_sup_lproof · cited by 9
- TopologicalSpace.gciGenerateFromproof · cited by 9
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