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Theorems · Theorem · order theory

Finset.coe_inter

∀ {α : Type u_1} [inst : DecidableEq α] (s₁ s₂ : Finset α), ↑(s₁ ∩ s₂) = ↑s₁ ∩ ↑s₂
Defined in
Mathlib.Data.Finset.Lattice.Basic
Cited by
27 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.image₂_inter_subset_left · cited by 10Finset.image₂_inter_subse…Finset.image₂_inter_subset_right · cited by 10Finset.image₂_inter_subse…Finset.image₂_inter_union_subset_union · cited by 6Finset.image₂_inter_union…Finset.image₂_union_inter_subset_union · cited by 6Finset.image₂_union_inter…Finset.card_smul_inter_smul · cited by 3Finset.card_smul_inter_sm…Finset.card_vadd_inter_vadd · cited by 2Finset.card_vadd_inter_va…Finset.image₂_inter_union_subset · cited by 2Finset.image₂_inter_union…AffineIndependent.inf_affineSpan_eq_affineSpan_inter · cited by 2AffineIndependent.inf_aff…Finset.image₂_union_inter_subset · cited by 2Finset.image₂_union_inter…Finset.image_inter_of_injOn · cited by 2Finset.image_inter_of_inj…ProbabilityTheory.uniformOn_apply_finset' · cited by 1ProbabilityTheory.uniform…finsum_mem_union_inter · cited by 1finsum_mem_union_interSimpleGraph.EdgeDisjointTriangles.map · cited by 1EdgeDisjointTriangles.mapGeometry.SimplicialComplex.vertex_mem_convexHull_iff · cited by 1SimplicialComplex.vertex_…Finset.Ico_inter_Ico · cited by 1Finset.Ico_inter_IcoSet · cited by 53352SetFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeSet.ext · cited by 2266Set.extFinset.mem_inter · cited by 21Finset.mem_interFinset.coe_interCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by27

Results whose statement or proof uses this declaration.