Mathlib Map

Theorems · Theorem

isEmpty_iff

∀ {α : Sort u}, IsEmpty α ↔ ∀ (a : α), False
Defined in
Mathlib.Logic.IsEmpty.Defs
Cited by
3 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.isEmpty_of_forall_eq_empty · cited by 1Finset.isEmpty_of_forall_…SimpleGraph.cliqueFree_completeMultipartiteGraph · cited by 0SimpleGraph.cliqueFree_co…IsEmpty.prop_iff · cited by 0IsEmpty.prop_iffIsEmpty · cited by 759IsEmptyIsEmpty.false · cited by 24IsEmpty.falseisEmpty_iffCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.