Theorems · Theorem · order theory
Order.Ideal.PrimePair.I_isPrime
∀ {P : Type u_1} [inst : Preorder P] (IF : Order.Ideal.PrimePair P), IF.I.IsPrime- Defined in
- Mathlib.Order.PrimeIdeal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Order.Ideal.IsProperproof · cited by 23
- Order.Ideal.PrimePairstatement and proof · cited by 12
- Order.Ideal.IsPrimestatement · cited by 11
- Order.Ideal.PrimePair.Fproof · cited by 9
- Order.Ideal.PrimePair.Istatement and proof · cited by 9
- Order.IsPFilterproof · cited by 6
- Order.Ideal.PrimePair.compl_I_eq_Fproof · cited by 2
- Order.PFilter.isPFilterproof · cited by 1
- Order.Ideal.PrimePair.I_isProperproof · cited by 1
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