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Theorems · Theorem · order theory

Order.Ideal.PrimePair.I_isProper

∀ {P : Type u_1} [inst : Preorder P] (IF : Order.Ideal.PrimePair P), IF.I.IsProper
Defined in
Mathlib.Order.PrimeIdeal
Cited by
1 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Order.Ideal.PrimePair.I_isPrime · cited by 0PrimePair.I_isPrimeSet · cited by 53352SetSetLike.coe · cited by 8199SetLike.coePreorder · cited by 7952PreorderOrder.Ideal.IsProper · cited by 23Ideal.IsProperOrder.Ideal.PrimePair · cited by 12Ideal.PrimePairOrder.Ideal.PrimePair.F · cited by 9PrimePair.FOrder.Ideal.PrimePair.I · cited by 9PrimePair.IOrder.PFilter.nonempty · cited by 4PFilter.nonemptyOrder.Ideal.isProper_of_notMem · cited by 2Ideal.isProper_of_notMemOrder.Ideal.PrimePair.compl_I_eq_F · cited by 2PrimePair.compl_I_eq_FPrimePair.I_isProperCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.