Theorems · Theorem · logic and foundations
Cardinal.mk_finsupp_of_infinite
∀ (α β : Type u) [Infinite α] [inst : Zero β] [Nontrivial β], Cardinal.mk (α →₀ β) = max (Cardinal.mk α) (Cardinal.mk β)
- Defined in
- Mathlib.SetTheory.Cardinal.Finsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InfiniteZeroNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- Cardinalstatement · cited by 2,598
- Nontrivialstatement and proof · cited by 2,416
- Cardinal.mkstatement and proof · cited by 942
- Infinitestatement and proof · cited by 352
- Cardinal.lift_idproof · cited by 163
- Cardinal.mk_finsupp_lift_of_infiniteproof · cited by 6
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