Theorems · Theorem · combinatorics
Finset.map_disjiUnion
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
{h : (↑(Finset.map f s)).PairwiseDisjoint t}, (Finset.map f s).disjiUnion t h = s.disjiUnion (fun a => t (f a)) ⋯- Defined in
- Mathlib.Data.Finset.Union
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement and proof · cited by 747
- Finset.valproof · cited by 438
- Set.PairwiseDisjointstatement and proof · cited by 275
- Function.Embedding.injectivestatement · cited by 111
- Finset.eq_of_veqproof · cited by 45
- Finset.disjiUnionstatement · cited by 37
- Finset.mem_map_of_memstatement · cited by 15
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