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Theorems · Theorem · order theory

Order.Ideal.toLowerSet_injective

∀ {P : Type u_1} [inst : LE P], Function.Injective Order.Ideal.toLowerSet
Defined in
Mathlib.Order.Ideal
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
LE
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Around this declaration

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

Order.Ideal.principal_top · cited by 0Ideal.principal_topSet.Nonempty · cited by 2627Set.NonemptyDirectedOn · cited by 271DirectedOnLowerSet · cited by 230LowerSetOrder.Ideal · cited by 102Order.IdealLowerSet.carrier · cited by 11LowerSet.carrierOrder.Ideal.toLowerSet · cited by 9Ideal.toLowerSetOrder.Ideal.casesOn · cited by 1Ideal.casesOnIdeal.toLowerSet_injectiveCITED BYCITES

Cites7

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.