IndisputableMonolith.CondensedMatter.TopologicalPhasesStructure
This module establishes the link from topological phase structures to strongly correlated electron inputs in the Recognition Science condensed matter section. It imports the StronglyCorrelatedElectronsStructure module and organizes three sibling declarations around the implication stated in its doc comment. The module serves as an organizational bridge for condensed matter derivations. Its structure rests on the single module import and the listed siblings rather than inline proofs.
claimTopological phase structure implies strongly correlated electron input.
background
The module sits in the CondensedMatter domain and imports Mathlib together with the StronglyCorrelatedElectronsStructure module. The latter supplies the target definitions for strongly correlated electrons. The local theoretical setting is the derivation of condensed matter properties from ledger-based structures in Recognition Science.
The module doc comment states that topological-phase structure implies strongly-correlated-electron input. No further module-level documentation is supplied.
proof idea
This is a module that organizes the topological phases argument through its three sibling declarations. It relies on the import of StronglyCorrelatedElectronsStructure to supply the target of the implication. No tactic or term proofs appear at the module level; the structure is carried by the sibling objects.
why it matters in Recognition Science
This module supports condensed matter applications by connecting topological phases to the strongly correlated electrons structure. It fills the implication step referenced in its doc comment. The module is not referenced by other declarations in the current graph.
scope and limits
- Does not contain explicit theorem statements or proofs.
- Does not introduce new constants, mass formulas, or alpha-band results.
- Does not depend on the UnifiedForcingChain or RCL directly.
- Does not address Berry creation threshold or phi-ladder rung assignments.