Theorems · Definition · combinatorics
Equiv.Finset.union
{α : Type u_1} → [inst : DecidableEq α] → (s t : Finset α) → Disjoint s t → ↥s ⊕ ↥t ≃ ↥(s ∪ t)The disjoint union of finsets is a sum
- Defined in
- Mathlib.Data.Finset.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- Disjointstatement and proof · cited by 2,201
- Equiv.transproof · cited by 337
- Finset.coe_unionproof · cited by 78
- Equiv.setCongrproof · cited by 13
- Equiv.Set.unionproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- Equiv.piFinsetUnionproof · cited by 5
- MeasurableEquiv.piFinsetUnionproof · cited by 3
- MeasureTheory.measurePreserving_piFinsetUnionproof · cited by 2
- Function.updateFinset_updateFinsetproof · cited by 2
- Equiv.Finset.union_symm_leftstatement and proof · cited by 1
- Equiv.Finset.union_symm_rightstatement and proof · cited by 1
- Equiv.piFinsetUnion_leftproof · cited by 0
- Equiv.Finset.union.congr_simpstatement and proof · cited by 0
- Equiv.piFinsetUnion_rightproof · cited by 0
- Equiv.Finset.union_inlstatement · cited by 0
- Equiv.Finset.union_inrstatement · cited by 0