import OAI.SetTheory.PartitionPrinciple.Geometry.GrowthLayerSourceCongruence namespace OAI section namespace PartitionPilot.Forcing.CodedGrowthLayer universe u def congr_sources {M : TransitiveGround.{u}} {Space sourceOrder sourceMeet Space' sourceOrder' sourceMeet' : ZFSet.{u} → ZFSet.{u}} {L r μ birth t : ZFSet.{u}} (layer : CodedGrowthLayer M Space sourceOrder sourceMeet L r μ birth t) (spaces : ∀ s ∈ t, Space s = Space' s) (orders : ∀ s ∈ t, sourceOrder s = sourceOrder' s) (meets : ∀ s ∈ t, sourceMeet s = sourceMeet' s) : CodedGrowthLayer M Space' sourceOrder' sourceMeet' L r μ birth t := layer.congr_sources_below spaces orders meets end PartitionPilot.Forcing.CodedGrowthLayer end end OAI