Theorems · Theorem · commutative algebra
InfIrred.isPrimary
∀ {R : Type u_1} {M : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] [IsNoetherian R M]
{N : Submodule R M}, InfIrred N → N.IsPrimary- Defined in
- Mathlib.RingTheory.Lasker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Submodulestatement and proof · cited by 7,192
- Set.ofPredproof · cited by 6,101
- le_antisymmproof · cited by 2,068
- SMulCommClassproof · cited by 1,927
- Monotoneproof · cited by 1,397
- smul_zeroproof · cited by 665
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.isLaskerproof · cited by 1