Theorems · Theorem · combinatorics
Fintype.piFinset_subset
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {δ : α → Type u_4} (t₁ t₂ : (a : α) → Finset (δ a)),
(∀ (a : α), t₁ a ⊆ t₂ a) → Fintype.piFinset t₁ ⊆ Fintype.piFinset t₂- Defined in
- Mathlib.Data.Fintype.Pi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Fintype.piFinsetstatement and proof · cited by 86
- Fintype.mem_piFinsetproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- MultilinearMap.map_sum_finset_auxproof · cited by 1