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Theorems · Definition · order theory

Order.Ideal.IsPrime.recOn

{P : Type u_1} →
  [inst : Preorder P] →
    {I : Order.Ideal P} →
      {motive : I.IsPrime → Sort u} →
        (t : I.IsPrime) → ([toIsProper : I.IsProper] → (compl_filter : Order.IsPFilter (↑I)ᶜ) → motive ⋯) → motive t
Defined in
Mathlib.Order.PrimeIdeal
Cited by
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Foundations
Depth 17 from the axioms · uses Quot.sound
Assumes
Preorder
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Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coePreorder · cited by 7952PreorderCompl.compl · cited by 2925Compl.complOrder.Ideal · cited by 102Order.IdealOrder.Ideal.IsProper · cited by 23Ideal.IsProperOrder.Ideal.IsPrime · cited by 11Ideal.IsPrimeOrder.IsPFilter · cited by 6Order.IsPFilterIsPrime.recOnCITED BYCITES

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