Theorems · Theorem · general topology
induced_iInf
∀ {α : Type u_1} {β : Type u_2} {g : β → α} {ι : Sort w} {t : ι → TopologicalSpace α},
TopologicalSpace.induced g (⨅ i, t i) = ⨅ i, TopologicalSpace.induced g (t i)- Defined in
- Mathlib.Topology.Order
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- iInfstatement · cited by 1,690
- TopologicalSpace.inducedstatement · cited by 148
- GaloisConnection.u_iInfproof · cited by 40
- gc_coinduced_inducedproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- TopCat.induced_of_isLimitproof · cited by 3
- Pi.induced_precomp'proof · cited by 2
- induced_to_piproof · cited by 2
- UniformOnFun.continuousSMul_induced_of_image_boundedproof · cited by 2
- induced_sInfproof · cited by 1