Theorems · Inductive type
IsEmpty
Sort u → Prop
IsEmpty α expresses that α is empty.
- Defined in
- Mathlib.Logic.IsEmpty.Defs
- Cited by
- 759 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
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 by841
Results whose statement or proof uses this declaration.
- isEmpty_or_nonemptystatement and proof · cited by 269
- MeasurableSet.iUnionproof · cited by 81
- Set.iUnion_of_emptystatement and proof · cited by 68
- isEmptyElimstatement and proof · cited by 59
- Finset.univ_eq_emptystatement and proof · cited by 51
- IsEmpty.elimstatement and proof · cited by 46
- IsEmpty.forall_iffstatement and proof · cited by 39
- Cardinal.mk_eq_zerostatement and proof · cited by 27
- IsEmpty.falsestatement and proof · cited by 24
- ciSup_of_emptystatement and proof · cited by 23
- Set.iInter_of_emptystatement and proof · cited by 23
- Fintype.card_eq_zerostatement and proof · cited by 22
Showing the 200 most cited of 841.