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Theorems · Theorem · logic and foundations

uncountable_iff_not_countable

∀ (α : Sort u_1), Uncountable α ↔ ¬Countable α
Defined in
Mathlib.Data.Countable.Defs
Cited by
4 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
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Around this declaration

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

not_countable_iff · cited by 4not_countable_iffnot_uncountable_iff · cited by 1not_uncountable_iffFinsupp.Uncountable.of_moduleFinite · cited by 0Uncountable.of_moduleFini…Uncountable.of_not_small · cited by 0Uncountable.of_not_smallCountable · cited by 633CountableUncountable · cited by 27UncountableUncountable.casesOn · cited by 1Uncountable.casesOnuncountable_iff_not_countableCITED BYCITES

Cites3

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

Cited by4

Results whose statement or proof uses this declaration.