OAI/GroupTheory/PolycyclicRecognition/Analysis/BarChainExhaustion.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Finite support in bar chains along a subgroup exhaustion

Every bar chain has a representative in one member of an increasing exhaustive sequence of subgroups. The inclusion is injective in every degree.

  1. theorem OAI.PolycyclicRecognition.finite_subset_subgroup_exhaustion line 17
  2. def OAI.PolycyclicRecognition.subgroupBarInclusion line 32
  3. theorem OAI.PolycyclicRecognition.subgroupBarInclusion_injective line 37
  4. theorem OAI.PolycyclicRecognition.exists_barChain_in_subgroup line 43