Theorems · Theorem · combinatorics
Finset.card_ne_zero_of_mem
∀ {α : Type u_1} {s : Finset α} {a : α}, a ∈ s → s.card ≠ 0- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 2,327
- Finset.card_eq_zeroproof · cited by 34
- Finset.ne_empty_of_memproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Lagrange.sum_basisproof · cited by 3
- Configuration.Nondegenerate.exists_injective_of_card_leproof · cited by 2
- Finset.eq_of_card_le_one_of_sum_eqproof · cited by 1
- Finset.eq_of_card_le_one_of_prod_eqproof · cited by 1