Theorems · Theorem · combinatorics
Multiset.antidiagonal_eq_map_powerset
∀ {α : Type u_1} [inst : DecidableEq α] (s : Multiset α), s.antidiagonal = Multiset.map (fun t => (s - t, t)) s.powerset- Defined in
- Mathlib.Data.Multiset.Antidiagonal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- add_commproof · cited by 1,535
- Multiset.mapstatement and proof · cited by 876
- Multiset.consproof · cited by 313
- Multiset.map_congrproof · cited by 232
- Multiset.map_mapproof · cited by 151
- Multiset.induction_onproof · cited by 109
- Multiset.powersetstatement and proof · cited by 27
- Multiset.map_addproof · cited by 26
- Multiset.antidiagonalstatement and proof · cited by 12
- Multiset.erase_cons_headproof · cited by 10
- Multiset.sub_consproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.prod_X_add_C_eq_sum_esymmproof · cited by 3