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Theorems · Theorem · combinatorics

Finset.map_swap_product

∀ {α : Type u_1} {β : Type u_2} (s : Finset α) (t : Finset β),
  Finset.map { toFun := Prod.swap, inj' := ⋯ } (t ×ˢ s) = s ×ˢ t
Defined in
Mathlib.Data.Finset.Prod
Cited by
1 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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HopfAlgebra.antipode_comp_mul_comp_comm · cited by 1HopfAlgebra.antipode_comp…DFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeSet.image · cited by 5609Set.imageSProd.sprod · cited by 1750SProd.sprodFinset.map · cited by 747Finset.mapFinset.coe_injective · cited by 127Finset.coe_injectiveFinset.coe_map · cited by 114Finset.coe_mapFinset.coe_product · cited by 18Finset.coe_productProd.swap_injective · cited by 12Prod.swap_injectiveSet.image_swap_prod · cited by 5Set.image_swap_prodFinset.map_swap_productCITED BYCITES

Cites11

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Cited by1

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