Theorems · Theorem · commutative algebra
MvPolynomial.cardinalMk_eq_max
∀ {σ R : Type u} [inst : CommSemiring R] [Nonempty σ] [Nontrivial R],
Cardinal.mk (MvPolynomial σ R) = max (max (Cardinal.mk R) (Cardinal.mk σ)) Cardinal.aleph0- Defined in
- Mathlib.Algebra.MvPolynomial.Cardinal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Cardinalstatement · cited by 2,598
- Nontrivialstatement and proof · cited by 2,416
- MvPolynomialstatement · cited by 2,140
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.lift_idproof · cited by 163
- sup_assocproof · cited by 37
- MvPolynomial.cardinalMk_eq_max_liftproof · cited by 5
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