Theorems · Theorem
Function.surjective_to_subsingleton
∀ {α : Sort u} {β : Sort v} [na : Nonempty α] [Subsingleton β] (f : α → β), Function.Surjective f- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- NonemptySubsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by7
Results whose statement or proof uses this declaration.
- Algebra.Generators.exists_presentation_of_basis_cotangentproof · cited by 2
- Module.algebraMap_surjective_of_rankAtStalk_le_oneproof · cited by 1
- IsNoetherianRing.induction_on_isQuotientEquivQuotientPrimeproof · cited by 1
- IsLocalization.surjective_piRingHom_algebraMap_comp_piEvalRingHomproof · cited by 1
- ApproximatesLinearOn.surjectiveproof · cited by 0
- Algebra.Generators.exists_presentation_of_free_cotangentproof · cited by 0