Theorems · Definition · combinatorics
Multiset.equivDFinsupp
{α : Type u_1} → [DecidableEq α] → Multiset α ≃+ Π₀ (x : α), ℕMultiset.toDFinsupp as an AddEquiv.
- Defined in
- Mathlib.Data.DFinsupp.Multiset
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 83 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
- AddEquivstatement · cited by 1,087
- DFinsuppstatement · cited by 694
- Multiset.toDFinsuppproof · cited by 17
- DFinsupp.toMultisetproof · cited by 10
- AddMonoidHom.toAddEquivproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- DFinsupp.toMultiset_toDFinsuppproof · cited by 4
- Multiset.card_Iccproof · cited by 4
- Multiset.toDFinsupp_injectiveproof · cited by 3
- DFinsupp.toMultiset_injectiveproof · cited by 1
- Multiset.uIcc_eqstatement and proof · cited by 1
- Multiset.Icc_eqstatement · cited by 1
- Multiset.toDFinsupp_toMultisetproof · cited by 0
- Multiset.equivDFinsupp_applystatement and proof · cited by 0
- Multiset.equivDFinsupp_symm_applystatement and proof · cited by 0
- Multiset.card_uIccproof · cited by 0