openAI-math-dataset / lean /OAI /SetTheory /PartitionPrinciple /Definability /CodedLayerSourceCongruence.lean
| 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 | |