Theorems · Theorem · combinatorics
MonoidAlgebra.cardinalMk_of_infinite
∀ (R M : Type u) [inst : Semiring R] [Infinite M] [Nontrivial R], Cardinal.mk (MonoidAlgebra R M) = max (Cardinal.mk R) (Cardinal.mk M)
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Cardinal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringInfiniteNontrivial
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Cardinalstatement · cited by 2,598
- Nontrivialstatement and proof · cited by 2,416
- Cardinal.mkstatement and proof · cited by 942
- MonoidAlgebrastatement · cited by 590
- Infinitestatement and proof · cited by 352
- Cardinal.lift_idproof · cited by 163
- MonoidAlgebra.cardinalMk_eq_max_lift_of_infiniteproof · cited by 3
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