Theorems · Theorem · commutative algebra
Polynomial.not_weaklyQuasiFiniteAt
∀ {R : Type u_1} [inst : CommRing R] (P : Ideal (Polynomial R)) [inst_1 : P.IsPrime], ¬Algebra.WeaklyQuasiFiniteAt R P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIdeal.IsPrime
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fieldproof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Set.preimageproof · cited by 4,946
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- Equiv.symmproof · cited by 3,681
- Polynomial.Xproof · cited by 1,639
- Module.Finiteproof · cited by 1,032
- Ideal.IsPrimestatement and proof · cited by 827
- PrimeSpectrumproof · cited by 625
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.not_ker_le_map_C_of_surjective_of_weaklyQuasiFiniteAtproof · cited by 1
- Polynomial.not_quasiFiniteAtproof · cited by 0