Theorems · Theorem · combinatorics
Finset.empty_disjUnion
∀ {α : Type u_2} (t : Finset α) (h : optParam (Disjoint ∅ t) ⋯), ∅.disjUnion t h = t- Defined in
- Mathlib.Data.Finset.Disjoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement and proof · cited by 13,712
- Disjointstatement and proof · cited by 2,201
- Finset.valproof · cited by 438
- Finset.disjUnionstatement · cited by 55
- Finset.eq_of_veqproof · cited by 45
- Multiset.zero_addproof · cited by 15
- disjoint_bot_leftstatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.primeFactors_mul_eq_disjUnionproof · cited by 1