Theorems · Theorem · combinatorics
Finset.map_disjUnion
∀ {α : Type u_1} {β : Type u_2} {f : α ↪ β} (s₁ s₂ : Finset α) (h : Disjoint s₁ s₂)
(h' : optParam (Disjoint (Finset.map f s₁) (Finset.map f s₂)) ⋯),
Finset.map f (s₁.disjUnion s₂ h) = (Finset.map f s₁).disjUnion (Finset.map f s₂) h'- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Disjointstatement and proof · cited by 2,201
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement and proof · cited by 747
- Finset.valproof · cited by 438
- Finset.disjUnionstatement · cited by 55
- Finset.eq_of_veqproof · cited by 45
- Multiset.map_addproof · cited by 26
- Finset.disjoint_mapstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Finset.map_disjUnion'proof · cited by 0