Theorems · Theorem · general topology
DiscreteQuotient.proj_surjective
∀ {X : Type u_2} [inst : TopologicalSpace X] (S : DiscreteQuotient X), Function.Surjective S.proj- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
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
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.toSetoidstatement · cited by 45
- DiscreteQuotient.projstatement · cited by 23
- Quotient.mk''_surjectiveproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- LightProfinite.proj_surjectiveproof · cited by 2
- DiscreteQuotient.fiber_subset_ofLEproof · cited by 1
- DiscreteQuotient.proj_bot_bijectiveproof · cited by 0
- DiscreteQuotient.exists_of_compatproof · cited by 0