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Theorems · Theorem · logic and foundations

Set.encard_sdiff_add_encard

∀ {α : Type u_1} (s t : Set α), (s \ t).encard + t.encard = (s ∪ t).encard
Defined in
Mathlib.Data.Set.Card
Cited by
2 results in Mathlib
Foundations
Depth 94 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_le_encard_sdiff_add_encard · cited by 3Set.encard_le_encard_sdif…Set.encard_diff_add_encard · cited by 0Set.encard_diff_add_encardSet · cited by 53352SetENat · cited by 4985ENatSet.encard · cited by 327Set.encardSet.sdiff_union_self · cited by 30Set.sdiff_union_selfSet.disjoint_sdiff_left · cited by 25Set.disjoint_sdiff_leftSet.encard_union_eq · cited by 15Set.encard_union_eqSet.encard_sdiff_add_encardCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.