Theorems · Theorem · combinatorics
Multiset.mem_map_of_mem
∀ {α : Type u_1} {β : Type v} (f : α → β) {a : α} {s : Multiset α}, a ∈ s → f a ∈ Multiset.map f s- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Multiset.mapstatement · cited by 876
- Multiset.mem_mapproof · cited by 72
Cited by8
Results whose statement or proof uses this declaration.
- Finset.noncommProd_erase_mulproof · cited by 2
- Associates.unique'proof · cited by 2
- Multiset.finsetSum_eq_sup_iff_disjointproof · cited by 2
- Multiset.map_erase_of_memproof · cited by 2
- Finmap.sigma_keys_lookupproof · cited by 0
- Multiset.le_bindproof · cited by 0
- Finset.mul_noncommProd_eraseproof · cited by 0
- LindemannWeierstrass.exp_polynomial_approxproof · cited by 0