Theorems · Theorem · commutative algebra
Ideal.isOka_isPrincipal
∀ {R : Type u_1} [inst : CommSemiring R], Ideal.IsOka Submodule.IsPrincipalSubmodule.IsPrincipal is an Oka predicate.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- SetLike.coeproof · cited by 8,199
- Submoduleproof · cited by 7,192
- Idealproof · cited by 4,748
- mul_commproof · cited by 2,262
- le_antisymmproof · cited by 2,068
- mul_assocproof · cited by 1,667
- Submodule.spanproof · cited by 1,504
- Ideal.spanproof · cited by 948
- Submodule.IsPrincipalstatement and proof · cited by 129
- Submodule.colonproof · cited by 80
- Ideal.mul_mem_rightproof · cited by 71
Cited by1
Results whose statement or proof uses this declaration.
- IsPrincipalIdealRing.of_primeproof · cited by 1