Theorems · Theorem
Function.Surjective.isEmpty
∀ {α : Sort u} {β : Sort v} [IsEmpty α] {f : α → β}, Function.Surjective f → IsEmpty β- Defined in
- Mathlib.Logic.IsEmpty.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- IsEmpty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsEmptystatement and proof · cited by 759
- IsEmpty.falseproof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- Function.surjective_iff_isEmptyproof · cited by 0
- Function.not_surjective_of_isEmpty_of_nonemptyproof · cited by 0