Theorems · Theorem · combinatorics
Fintype.card_pos
∀ {α : Type u_1} [inst : Fintype α] [h : Nonempty α], 0 < Fintype.card α- Defined in
- Mathlib.Data.Fintype.Card
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement · cited by 1,386
- Fintype.card_pos_iffproof · cited by 31
Cited by31
Results whose statement or proof uses this declaration.
- Fintype.card_ne_zeroproof · cited by 16
- FiniteField.pow_cardproof · cited by 8
- Cardinal.mk_finsupp_lift_of_infinite'proof · cited by 7
- Matrix.trace_eq_neg_charpoly_coeffproof · cited by 5
- MulChar.orderOf_posproof · cited by 3
- AffineIndependent.finrank_vectorSpan_add_oneproof · cited by 3
- FiniteField.orderOf_frobeniusAlgHomproof · cited by 3
- SimpleGraph.IsTree.card_edgeFinsetproof · cited by 3
- ZLattice.covolume.tendsto_card_le_div''proof · cited by 2
- SimpleGraph.FarFromTriangleFree.le_card_cliqueFinsetproof · cited by 2
- SimpleGraph.FarFromTriangleFree.nonposproof · cited by 2
- finrank_vectorSpan_range_add_one_leproof · cited by 2