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Theorems · Theorem · order theory

Finset.Icc_eq_image_powerset

∀ {α : Type u_1} [inst : DecidableEq α] {s t : Finset α},
  s ⊆ t → Finset.Icc s t = Finset.image (fun x => s ∪ x) (t \ s).powerset
Defined in
Mathlib.Data.Finset.Interval
Cited by
0 results in Mathlib
Foundations
Depth 76 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 · cited by 13712FinsetFinset.image · cited by 910Finset.imageFinset.map · cited by 747Finset.mapFinset.ext · cited by 565Finset.extFinset.Icc · cited by 348Finset.IccFinset.attach · cited by 168Finset.attachFinset.powerset · cited by 93Finset.powersetFinset.disjUnion · cited by 55Finset.disjUnionFinset.union_comm · cited by 25Finset.union_commFunction.Embedding.mk.congr_simp · cited by 14mk.congr_simpFinset.disjUnion_eq_union · cited by 12Finset.disjUnion_eq_unionFinset.Icc_eq_image_powersetCITED BYCITES

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