Theorems · Theorem · logic and foundations

Set.ncard_sdiff_add_ncard

∀ {α : Type u_1} (s t : Set α),
  autoParam s.Finite Set.ncard_sdiff_add_ncard._auto_1 →
    autoParam t.Finite Set.ncard_sdiff_add_ncard._auto_3 → (s \ t).ncard + t.ncard = (s ∪ t).ncard

Defined in: Mathlib.Data.Set.Card
Cited by: 1 results in Mathlib
Foundations: Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites7

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

Setstatement and proof · cited by 53,352
Set.Finitestatement and proof · cited by 1,814
Set.ncardstatement and proof · cited by 344
Set.sdiff_union_selfproof · cited by 30
Set.disjoint_sdiff_leftproof · cited by 25
Set.Finite.sdiffproof · cited by 15
Set.ncard_union_eqproof · cited by 6

Cited by1

Results whose statement or proof uses this declaration.

Set.ncard_diff_add_ncardproof · cited by 0