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Theorems · Theorem · logic and foundations

ENat.card_sum

∀ (α : Type u_3) (β : Type u_4), ENat.card (α ⊕ β) = ENat.card α + ENat.card β
Defined in
Mathlib.SetTheory.Cardinal.Finite
Cited by
2 results in Mathlib
Foundations
Depth 91 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.Finite.ecard_lt_ecard · cited by 2Finite.ecard_lt_ecardDFunLike.coe · cited by 62936DFunLike.coeENat · cited by 4985ENatmap_add · cited by 964map_addCardinal.mk · cited by 942Cardinal.mkCardinal.lift · cited by 583Cardinal.liftCardinal.toENat · cited by 92Cardinal.toENatENat.card · cited by 89ENat.cardCardinal.mk_sum · cited by 19Cardinal.mk_sumCardinal.toENat_lift · cited by 10Cardinal.toENat_liftENat.card_sumCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.