Theorems · Definition · commutative algebra

RingTheory.Sequence.IsRegular.casesOn

{R : Type u_1} →
  {M : Type u_3} →
    [inst : CommRing R] →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] →
          {rs : List R} →
            {motive : RingTheory.Sequence.IsRegular M rs → Sort u} →
              (t : RingTheory.Sequence.IsRegular M rs) →
                ((toIsWeaklyRegular : RingTheory.Sequence.IsWeaklyRegular M rs) →
                    (top_ne_smul : ⊤ ≠ Ideal.ofList rs • ⊤) → motive ⋯) →
                  motive t

Defined in

Mathlib.RingTheory.Regular.RegularSequence

Cited by

2 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule