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Theorems · Theorem · logic and foundations

Function.Injective.uncountable

∀ {α : Sort u} {β : Sort v} [Uncountable α] {f : α → β}, Function.Injective f → Uncountable β
Defined in
Mathlib.Data.Countable.Defs
Cited by
4 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Uncountable
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Around this declaration

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

Uncountable.of_equiv · cited by 1Uncountable.of_equivFunction.Embedding.uncountable · cited by 0Embedding.uncountableSigma.uncountable · cited by 0Sigma.uncountableFunction.Surjective.uncountable · cited by 0Surjective.uncountableCountable · cited by 633CountableUncountable · cited by 27UncountableFunction.Injective.countable · cited by 10Injective.countablenot_countable · cited by 3not_countableInjective.uncountableCITED BYCITES

Cites4

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.