Theorems · Theorem · commutative algebra
MvPolynomial.cardinalMk_eq_lift
∀ {σ : Type u} {R : Type v} [inst : CommSemiring R] [IsEmpty σ],
Cardinal.mk (MvPolynomial σ R) = Cardinal.lift.{u, v} (Cardinal.mk R)- Defined in
- Mathlib.Algebra.MvPolynomial.Cardinal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringIsEmpty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Finsuppproof · cited by 5,255
- Cardinalstatement · cited by 2,598
- MvPolynomialstatement · cited by 2,140
- Cardinal.mkstatement and proof · cited by 942
- pow_oneproof · cited by 894
- IsEmptystatement and proof · cited by 759
- Cardinal.liftstatement and proof · cited by 583
- Fintype.card_uniqueproof · cited by 59
- AddMonoidAlgebra.cardinalMk_eq_lift_of_fintypeproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.cardinalMk_le_max_liftproof · cited by 2
- MvPolynomial.cardinalMk_eqproof · cited by 0