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Theorems · Theorem · logic and foundations

Countable.exists_injective_nat

∀ (α : Sort u) [Countable α], ∃ f, Function.Injective f
Defined in
Mathlib.Data.Countable.Defs
Cited by
5 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
Countable
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Around this declaration

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

exists_surjective_nat · cited by 10exists_surjective_natFunction.Injective.countable · cited by 10Injective.countableDirected.measure_iUnion · cited by 5Directed.measure_iUnionMeasureTheory.VectorMeasure.hasSum_of_disjoint_iUnion · cited by 2VectorMeasure.hasSum_of_d…MeasureTheory.sfinite_sum_of_countable · cited by 0MeasureTheory.sfinite_sum…Countable · cited by 633CountableCountable.exists_injective_nat' · cited by 1Countable.exists_injectiv…Countable.exists_injective_natCITED BYCITES

Cites2

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

Cited by5

Results whose statement or proof uses this declaration.