Theorems · Theorem · combinatorics
Fintype.card_ne_zero
∀ {α : Type u_1} [inst : Fintype α] [Nonempty α], Fintype.card α ≠ 0- Defined in
- Mathlib.Data.Fintype.Card
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 65 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.
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement · cited by 1,386
- ne_of_gtproof · cited by 637
- Fintype.card_posproof · cited by 31
Cited by16
Results whose statement or proof uses this declaration.
- FiniteField.pow_cardproof · cited by 8
- MonoidHom.domRestrict_surjectiveproof · cited by 2
- ZLattice.covolume.tendsto_card_le_div''proof · cited by 2
- EuclideanSpace.volume_ballproof · cited by 2
- Finset.card_mul_densproof · cited by 2
- SimpleGraph.isExtremal_top_free_iff_isTuranMaximalproof · cited by 2
- MeasureTheory.piPremeasure_pi'proof · cited by 1
- AddChar.sum_apply_eq_zero_iff_ne_zeroproof · cited by 1
- ClassGroup.norm_ltproof · cited by 1
- AddChar.sum_eq_zero_iff_ne_zeroproof · cited by 1
- commProb_eq_one_iffproof · cited by 1
- Matrix.det_eq_sum_mul_adjugate_rowproof · cited by 1