Theorems · Theorem · combinatorics
Finset.card_eq_succ_iff_cons
∀ {α : Type u_1} {s : Finset α} {n : ℕ}, s.card = n + 1 ↔ ∃ a t, ∃ (h : a ∉ t), Finset.cons a t h = s ∧ t.card = n- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- Finset.consstatement and proof · cited by 221
- Finset.cons_induction_onproof · cited by 37
- Finset.card_consproof · cited by 16
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.