OAI/SetTheory/PartitionPrinciple/Forcing/GroundUnionSizeWitnesses.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.PartitionPilot.Forcing.belowWitnessRelation line 11
  2. theorem OAI.PartitionPilot.Forcing.pair_mem_belowWitnessRelation line 15
  3. theorem OAI.PartitionPilot.Forcing.belowWitnessRelation_subset line 31
  4. def OAI.PartitionPilot.Forcing.BoundedFormula.belowWitnessEntryFormula line 37
  5. theorem OAI.PartitionPilot.Forcing.BoundedFormula.truth_belowWitnessEntryFormula line 41
  6. theorem OAI.PartitionPilot.Forcing.TransitiveGround.belowWitnessRelation_mem line 54
  7. def OAI.PartitionPilot.Forcing.TransitiveGround.groundBelowWitnesses line 73
  8. theorem OAI.PartitionPilot.Forcing.TransitiveGround.groundBelowWitnesses_mem line 76
  9. theorem OAI.PartitionPilot.Forcing.TransitiveGround.groundBelow_iff_boundedWitness line 85
  10. theorem OAI.PartitionPilot.Forcing.TransitiveGround.groundBelowWitnesses_total_iff line 98
  11. theorem OAI.PartitionPilot.Forcing.TransitiveGround.uniform_below_witnesses line 115
  12. theorem OAI.PartitionPilot.Forcing.TransitiveGround.uniform_below_family line 139
  13. theorem OAI.PartitionPilot.Forcing.GroundRegular.bound_witnesses line 161
  14. theorem OAI.PartitionPilot.Forcing.TransitiveGround.uniform_below_common_bound line 183
  15. theorem OAI.PartitionPilot.Forcing.TransitiveGround.selected_union_embeds_product line 223
  16. theorem OAI.PartitionPilot.Forcing.TransitiveGround.paired_union_embeds_product line 233
  17. theorem OAI.PartitionPilot.Forcing.TransitiveGround.regular_union_embeds_product line 253