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Theorems · Definition · order theory

RingPreordering.IsOrdering.casesOn

{R : Type u_1} →
  [inst : CommRing R] →
    {P : RingPreordering R} →
      {motive : P.IsOrdering → Sort u} →
        (t : P.IsOrdering) →
          ([toHasMemOrNegMem : HasMemOrNegMem P] → [toIsPrime : P.support.IsPrime] → motive ⋯) → motive t
Defined in
Mathlib.Algebra.Order.Ring.Ordering.Defs
Cited by
0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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CommRing · cited by 17173CommRingIdeal.IsPrime · cited by 827Ideal.IsPrimeRingPreordering · cited by 49RingPreorderingRingPreordering.support · cited by 9RingPreordering.supportHasMemOrNegMem · cited by 5HasMemOrNegMemRingPreordering.IsOrdering · cited by 2RingPreordering.IsOrderingIsOrdering.casesOnCITED BYCITES

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