Theorems · Theorem · general topology
gc_coinduced_induced
∀ {α : Type u_1} {β : Type u_2} (f : α → β),
GaloisConnection (TopologicalSpace.coinduced f) (TopologicalSpace.induced f)- Defined in
- Mathlib.Topology.Order
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 67 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
- GaloisConnectionstatement · cited by 253
- TopologicalSpace.inducedstatement · cited by 148
- TopologicalSpace.coinducedstatement · cited by 56
- coinduced_le_iff_le_inducedproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- continuous_iff_le_inducedproof · cited by 16
- induced_infproof · cited by 12
- induced_iInfproof · cited by 5
- coinduced_iSupproof · cited by 4
- induced_monoproof · cited by 3
- induced_topproof · cited by 2
- coinduced_monoproof · cited by 1
- coinduced_supproof · cited by 1
- coinduced_botproof · cited by 0