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3277efa | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | import OAI.SetTheory.PartitionPrinciple.Forcing.InitialRecursiveActionAgreement
import OAI.SetTheory.PartitionPrinciple.Forcing.RecursiveNextTaskActions
namespace OAI
section
namespace PartitionPilot.Forcing
universe u
structure FixedCompressionSeed
(P r μ A τ I Sources Reps G m inv one T Filters : ZFSet.{u}) : Prop where
originalOrder : MeetOrderCode P r μ
originalAction : PosetActionCode G P m one r A
top_mem : τ ∈ P
sources : ZFSet.IsFunc I P Sources
filters : FunctionGraphOn I Filters
productAgreement : ∀ δ i j g h k a,
ZFSet.pair (ZFSet.pair δ i) j ∈ T → ZFSet.pair i a ∈ Sources →
ZFSet.pair i g ∈ Reps → ZFSet.pair j h ∈ Reps →
ZFSet.pair (ZFSet.pair δ g) k ∈ m → ActionAgreementBelow P r A k h a
positiveAgreement : ∀ g h v i j k F,
ActionAgreementBelow P r A g h v → ZFSet.pair i F ∈ Filters → v ∈ F →
ZFSet.pair (ZFSet.pair g i) j ∈ T →
ZFSet.pair (ZFSet.pair h i) k ∈ T → j = k
end PartitionPilot.Forcing
end
end OAI
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