Mathlib Map

Theorems · Theorem · combinatorics

Finset.card_empty

∀ {α : Type u_1}, ∅.card = 0
Defined in
Mathlib.Data.Finset.Card
Cited by
20 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.card_Ico_eq_card_Icc_sub_one · cited by 8Finset.card_Ico_eq_card_I…addRothNumber_spec · cited by 8addRothNumber_specmulRothNumber_spec · cited by 6mulRothNumber_specLagrange.degree_interpolate_lt · cited by 4Lagrange.degree_interpola…Finset.card_Ioo_eq_card_Ico_sub_one · cited by 3Finset.card_Ioo_eq_card_I…SimpleGraph.FarFromTriangleFree.nonpos · cited by 2FarFromTriangleFree.nonposDynamics.netMaxcard_empty · cited by 2Dynamics.netMaxcard_emptyRel.abs_edgeDensity_sub_edgeDensity_le_two_mul_sub_sq · cited by 1Rel.abs_edgeDensity_sub_e…Dynamics.IsDynCoverOf.preimage · cited by 1IsDynCoverOf.preimagePolynomial.card_support_eraseLead · cited by 1Polynomial.card_support_e…Rel.edgeDensity_empty_left · cited by 1Rel.edgeDensity_empty_leftRel.edgeDensity_empty_right · cited by 1Rel.edgeDensity_empty_rig…addRothNumber_empty · cited by 1addRothNumber_emptyAddGroup.rank_eq_zero · cited by 1AddGroup.rank_eq_zeroFinpartition.bot_isUniform · cited by 1Finpartition.bot_isUniformFinset · cited by 13712FinsetFinset.card · cited by 2327Finset.cardFinset.card_emptyCITED BYCITES

Cites2

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Cited by20

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