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Theorems · Theorem · logic and foundations

ENat.card_congr

∀ {α : Type u_3} {β : Type u_4} (f : α ≃ β), ENat.card α = ENat.card β
Defined in
Mathlib.SetTheory.Cardinal.Finite
Cited by
8 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Set.encard_union_eq · cited by 15Set.encard_union_eqSet.encard_univ · cited by 15Set.encard_univSet.Finite.ecard_lt_ecard · cited by 2Finite.ecard_lt_ecardENat.card_image_of_injOn · cited by 2ENat.card_image_of_injOnSet.encard_prod · cited by 1Set.encard_prodENat.card_ulift · cited by 1ENat.card_uliftENat.card_plift · cited by 0ENat.card_pliftSet.encard_congr · cited by 0Set.encard_congrEquiv · cited by 8337EquivENat · cited by 4985ENatENat.card · cited by 89ENat.cardCardinal.toENat_congr · cited by 1Cardinal.toENat_congrENat.card_congrCITED BYCITES

Cites4

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

Cited by8

Results whose statement or proof uses this declaration.