Theorems · Theorem · logic and foundations
ENat.card_eq_zero_iff_empty
∀ (α : Type u_3), ENat.card α = 0 ↔ IsEmpty α
- Defined in
- Mathlib.SetTheory.Cardinal.Finite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- ENatstatement · cited by 4,985
- Cardinal.mkproof · cited by 942
- IsEmptystatement · cited by 759
- ENat.cardstatement and proof · cited by 89
- Cardinal.mk_eq_zero_iffproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- Set.encard_eq_zeroproof · cited by 12
- Set.Finite.ecard_lt_ecardproof · cited by 2
- ENat.card_funproof · cited by 0