Theorems · Theorem
isEmpty_fun
∀ {α : Sort u_1} {β : Sort u_2}, IsEmpty (α → β) ↔ Nonempty α ∧ IsEmpty β- Defined in
- Mathlib.Logic.IsEmpty.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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_piproof · cited by 4
- exists_true_iff_nonemptyproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- nonempty_funproof · cited by 1