Theorems · Theorem · combinatorics
Finset.prodMap_map_product
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} (f : α ↪ β) (g : γ ↪ δ) (s : Finset α) (t : Finset γ),
Finset.map (f.prodMap g) (s ×ˢ t) = Finset.map f s ×ˢ Finset.map g t- Defined in
- Mathlib.Data.Finset.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- SProd.sprodstatement and proof · cited by 1,750
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement and proof · cited by 747
- Finset.coe_mapproof · cited by 114
- Function.Embedding.prodMapstatement and proof · cited by 23
- Finset.coe_productproof · cited by 18
- Set.prodMap_image_prodproof · cited by 5
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