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Theorems · Theorem · logic and foundations

Set.encard_sdiff

∀ {α : Type u_1} {s t : Set α}, s ⊆ t → s.Finite → (t \ s).encard = t.encard - s.encard
Defined in
Mathlib.Data.Set.Card
Cited by
2 results in Mathlib
Foundations
Depth 100 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.

SimpleGraph.vertexCoverNum_top · cited by 0SimpleGraph.vertexCoverNu…Set.encard_diff · cited by 0Set.encard_diffSet · cited by 53352SetENat · cited by 4985ENatSet.Finite · cited by 1814Set.FiniteSet.encard · cited by 327Set.encardENat.addLECancellable_of_ne_top · cited by 9ENat.addLECancellable_of_…Set.encard_ne_top_iff · cited by 7Set.encard_ne_top_iffAddLECancellable.eq_tsub_of_add_eq · cited by 6AddLECancellable.eq_tsub_…Set.encard_sdiff_add_encard_of_subset · cited by 6Set.encard_sdiff_add_enca…Set.encard_sdiffCITED BYCITES

Cites8

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.