Theorems · Theorem · general topology
open_dom_of_pcontinuous
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X →. Y},
PContinuous f → IsOpen f.Dom- Defined in
- Mathlib.Topology.Partial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univproof · cited by 3,945
- IsOpenstatement and proof · cited by 2,400
- PFunstatement and proof · cited by 207
- isOpen_univproof · cited by 112
- PFun.Domstatement · cited by 28
- PContinuousstatement and proof · cited by 2
- PFun.preimage_univproof · cited by 1
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