Theorems · Theorem · logic and foundations

Set.ncard_eq_ncard_iff_ncard_sdiff_eq_ncard_sdiff

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

Defined in: Mathlib.Data.Set.Card
Cited by: 1 results in Mathlib
Foundations: Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

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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.inter_commproof · cited by 291
add_right_injproof · cited by 71
Set.ncard_inter_add_ncard_sdiff_eq_ncardproof · cited by 4

Cited by1

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Set.ncard_eq_ncard_iff_ncard_diff_eq_ncard_diffproof · cited by 0