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Theorems · Theorem · combinatorics

Prod.finite_iff

∀ {α : Type u_1} {β : Type u_2} [Nonempty α] [Nonempty β], Finite (α × β) ↔ Finite α ∧ Finite β
Defined in
Mathlib.Data.Finite.Prod
Cited by
2 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonemptyNonempty
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

finite_iff_addSubgroup_quotient · cited by 2finite_iff_addSubgroup_qu…finite_iff_subgroup_quotient · cited by 1finite_iff_subgroup_quoti…Finite · cited by 3029FiniteFinite.prod_left · cited by 1Finite.prod_leftFinite.prod_right · cited by 1Finite.prod_rightProd.finite_iffCITED BYCITES

Cites3

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Cited by2

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