0-4-4-understand-order-gradation

name	0.4.4-understand-order_gradation
description	["0.4.4"]
the ^4	grade-shifts of the position triple; the grading becomes dynamics the moment a grade-raising operator

understand-order_gradation

CALL NUMBER: gauge_dinf_conjecture_unverified.order_gradation : lfpoop_lib(3), ee_v2_layer(1) DEFINITION: the ^4: grade-shifts of the position triple; the grading becomes dynamics the moment a grade-raising operator exists (emission, next_level, retype_up)

Invoke this skill to understand order_gradation down to its primitives. The RELATIVE ROOT below is the least-fixed-point closure of everything it bundles from — the full import cone, grouped by the lib each prim comes from. Projected from a prover-typed KB (MAP/SWI-Prolog consistency gate): every reference below resolves.

THE RELATIVE ROOT (the import cone, by lib)

from ee_v2_layer

• fixpoint_meter (d2): zero newly-accreted structure across a cycle = stabilized; the kernel's own closure clause, measured

from gauge_dinf_conjecture_unverified

• grade_raiser (d1): the operator that makes gradation dynamical: emission at pass end, lfpoop next_level with goldenization, the tower step

from lfpoop_lib

• lfpoop_ladder (d2): the 10-rung realization ladder of ONE identity: function, program, graph_entity, skill, manual, agent, application, distribution, golden_artifact, compiler_improvement; next_level admits exactly the next rung
• architecture_chain (d3): the 8-link chain: code_thing, graph_mirror_entity, runtime_object, actor, network, compiler, meta_compiler, repository_ecology
• goldenization (d3): hot artifacts cool through execution, testing, witnessing — the cooling dynamics of the ladder

CONSUMERS (what needs this)

gauge_theory_of_dinf, the_81_law

---

Projected from the the_toy_stack KB (57 concepts / 84 relations) — consistency-typed by MAP; the facet list after the colon IS the cross-lib dependency web.

(leaf — this is an actual skill.)