module module high

`IndisputableMonolith.RRF.Models.Trivial`

The module supplies the base consistency model for RRF with a singleton state space. Researchers verifying internal consistency of the Recognition framework axioms cite this as the minimal example. Content consists solely of definitions that establish the single point together with its strain and ledger properties.

claimThe trivial state space is the singleton set $\{*\}$.

background

RRF.Core re-exports all core RRF definitions. It contains only definitional content—no physical constants, no hypotheses, no heavy mathlib. This module specializes those definitions to a trivial model whose state space contains exactly one element. The sibling declarations then equip that point with strain, balance, and ledger closure.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

Supplies the base case to the RRF.Models collection of consistency models. These models demonstrate that the RRF axioms are internally consistent by exhibiting concrete realizations.

scope and limits

Does not introduce physical constants or mass formulas.
Does not treat state spaces with more than one point.
Does not invoke the forcing chain T0-T8 or J-uniqueness.
Does not connect to the phi-ladder or alpha band.

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

IndisputableMonolith.RRF.Models module_import

depends on (1)

Lean names referenced from this declaration's body.

IndisputableMonolith.RRF.Core module_import

declarations in this module (15)

abbrev TrivialState L24
def trivialStrain L27
theorem trivial_balanced L34
theorem trivial_is_minimizer L37
def trivialLedger L41
theorem trivial_ledger_closed L46
def trivialStrainLedger L49
theorem trivial_is_valid L54
def trivialChannel L58
def trivialChannelBundle L63
def trivialOctave L69
theorem trivialOctave_wellPosed L76
theorem trivialModel_consistent L80
def trivialVantageTriple L85
theorem trivialVantageTriple_unified L88