Theorems · Theorem · combinatorics
Finset.map_map
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α ↪ β) (g : β ↪ γ) (s : Finset α),
Finset.map g (Finset.map f s) = Finset.map (f.trans g) s- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Function.Embeddingstatement and proof · cited by 988
- Multiset.mapproof · cited by 876
- Finset.mapstatement · cited by 747
- Finset.valproof · cited by 438
- Multiset.map_mapproof · cited by 151
- Function.Embedding.transstatement and proof · cited by 83
- Finset.eq_of_veqproof · cited by 45
Cited by22
Results whose statement or proof uses this declaration.
- ContextFreeGrammar.reverse_reverseproof · cited by 2
- Nat.map_div_left_divisorsproof · cited by 2
- Finset.mapRange_finsuppAntidiag_eqproof · cited by 1
- SimpleGraph.neighborFinset_boxProdproof · cited by 1
- Finset.map_commproof · cited by 1
- Finset.Nat.antidiagonal_eq_map'proof · cited by 1
- UniqueMul.to_mulOppositeproof · cited by 1
- Finset.Nat.antidiagonal_succ_succ'proof · cited by 1
- UniqueAdd.to_addOppositeproof · cited by 1
- Finset.filter_piFinset_eq_map_consEquivproof · cited by 0
- Finset.filter_piFinset_eq_map_insertNthEquivproof · cited by 0
- Finset.filter_piFinset_eq_map_snocEquivproof · cited by 0