Theorems · Theorem
isEmpty_pi
∀ {α : Sort u_1} {π : α → Sort u_4}, IsEmpty ((a : α) → π a) ↔ ∃ a, IsEmpty (π a)- Defined in
- Mathlib.Logic.IsEmpty.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsEmptystatement · cited by 759
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.IsProjectiveMeasureFamily.eq_zero_of_isEmptyproof · cited by 2
- Real.iSup_prod_eq_prod_iSup_of_nonnegproof · cited by 1
- isEmpty_funproof · cited by 1
- Cardinal.zero_powerproof · cited by 1