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Theorems · Theorem · logic and foundations

Countable.of_equiv

∀ {β : Sort v} (α : Sort u_1) [Countable α] (e : α ≃ β), Countable β
Defined in
Mathlib.Data.Countable.Defs
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
Assumes
Countable
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Around this declaration

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

Set.Countable.prod · cited by 6Countable.prodEquiv.countable_iff · cited by 2Equiv.countable_iffcountable_prod_swap · cited by 1countable_prod_swapSet.countable_univ_pi · cited by 1Set.countable_univ_piEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmCountable · cited by 633CountableEquiv.injective · cited by 464Equiv.injectiveFunction.Injective.countable · cited by 10Injective.countableCountable.of_equivCITED BYCITES

Cites5

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.