Theorems · Theorem · general topology
Function.Surjective.preirreducibleSpace
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
Continuous f → Function.Surjective f → ∀ [PreirreducibleSpace X], PreirreducibleSpace Y- Defined in
- Mathlib.Topology.Irreducible
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Continuousstatement and proof · cited by 2,592
- Set.image_univproof · cited by 322
- Continuous.continuousOnproof · cited by 311
- Function.Surjective.range_eqproof · cited by 70
- IsPreirreducibleproof · cited by 43
- PreirreducibleSpacestatement and proof · cited by 33
- PreirreducibleSpace.isPreirreducible_univproof · cited by 7
- IsPreirreducible.imageproof · cited by 3
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