Theorems · Theorem · combinatorics
Finset.map_union
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq α] [inst_1 : DecidableEq β] {f : α ↪ β} (s₁ s₂ : Finset α),
Finset.map f (s₁ ∪ s₂) = Finset.map f s₁ ∪ Finset.map f s₂- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement and proof · cited by 747
- Set.image_unionproof · cited by 48
Cited by2
Results whose statement or proof uses this declaration.
- Finset.map_insertproof · cited by 2
- Finset.compls_unionproof · cited by 0