Theorems · Definition · combinatorics
Finset.biUnion
{α : Type u_1} → {β : Type u_2} → [DecidableEq β] → Finset α → (α → Finset β) → Finset βFinset.biUnion s t is the union of t a over a ∈ s.
(This was formerly bind due to the monad structure on types with DecidableEq.)
- Defined in
- Mathlib.Data.Finset.Union
- Cited by
- 217 results in Mathlib
- Foundations
- Depth 73 from the axioms, rests on 1,402 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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
- Finset.valproof · cited by 438
- Multiset.toFinsetproof · cited by 230
- Multiset.bindproof · cited by 59
Cited by228
Results whose statement or proof uses this declaration.
- Finset.mem_biUnionstatement · cited by 26
- Finset.coe_biUnionstatement · cited by 25
- BoxIntegral.Prepartition.biUnionproof · cited by 24
- Finset.card_biUnionstatement and proof · cited by 16
- Finset.biUnion_insertstatement · cited by 13
- Finset.disjiUnion_eq_biUnionstatement · cited by 11
- Finset.pimageproof · cited by 11
- Finset.shattererproof · cited by 11
- BinaryTree.treesOfNumNodesEqproof · cited by 10
- Finset.sum_biUnionstatement · cited by 10
- Finset.subset_biUnion_of_memstatement · cited by 8
- Finset.sup_biUnionstatement · cited by 8
Showing the 200 most cited of 228.