Theorems · Theorem · combinatorics
Fintype.mem_piFinset
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {δ : α → Type u_4} {t : (a : α) → Finset (δ a)}
{f : (a : α) → δ a}, f ∈ Fintype.piFinset t ↔ ∀ (a : α), f a ∈ t a- Defined in
- Mathlib.Data.Fintype.Pi
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finset.mem_univproof · cited by 361
- Fintype.piFinsetstatement · cited by 86
Cited by9
Results whose statement or proof uses this declaration.
- Finset.mem_addSpanproof · cited by 2
- Fintype.piFinset_disjoint_of_disjointproof · cited by 1
- Fintype.eval_image_piFinset_subsetproof · cited by 1
- mem_convexHull_piproof · cited by 1
- Fintype.coe_piFinsetproof · cited by 1
- Fintype.piFinset_subsetproof · cited by 1
- Finset.sum_univ_piproof · cited by 1
- MultilinearMap.map_sum_finset_auxproof · cited by 1
- Fintype.piFinset_subsingletonproof · cited by 0