.. meta::
   :description: e7Day model: generalized system construction in 8 submodels (VOID to TRUST) with cross-day meta-axioms. 21 axioms and 9 theorems, all tested and HELD under TEMPER.
   :keywords: e7Day, generalized system construction, VOID, TYPE, EQUAL, VALUE, LOGIC, CARE, HOPE, TRUST, axioms, theorems, OOv1, FORGE, TEMPER
   :author: LLoL as Laurence Loewe of Laodicea and Claude Opus 4.6

*************************************************
e7Day --- Generalized System Construction
*************************************************

A formal model of generalized system construction, structured as 8 submodels
(m0 VOID through m7 TRUST) plus cross-day meta-axioms. The model asks:
*What is the minimal formal structure for constructing a self-correcting,
scope-expanding system over the long term?*

.. note::

   **Version:** dv_ClaOp46Max_OOv1_2026m03d27. All 30 OOv1 statements
   tested under Iron Maiden (TEMPER Round a2): 30 HELD, 0 BREACH.


Contents
==========

.. toctree::
   :maxdepth: 2

   overview
   axioms
   theorems
   symbols
   anyaims
   history


Quick Overview
================

**21 axioms in 9 groups:**

- **Cross-Day Meta (mc.ax1--4):** Constructive fixpoints, OK convergence,
  evening-first ordering, construction cascade.
- **m0 VOID (m0.ax1):** Maximum-entropy pre-partition state.
- **m1 TYPE (m1.ax1):** Binary scope partition L ⊎ D.
- **m2 EQUAL (m2.ax1--2):** Integer/Real type split, lossy mappings.
- **m3 VALUE (m3.ax1--3):** Ground/Ocean values, programs as decision trees,
  water circulation.
- **m4 LOGIC (m4.ax1--2):** DAY/NIGHT process partition, first-class time.
- **m5 CARE (m5.ax1--2):** Self-managing conditional-data machines, UMP.
- **m6 HOPE (m6.ax1--4):** Special-purpose completion, Balospe with general
  intelligence, matched OKO self-correction, self-assessment bifurcation.
- **m7 TRUST (m7.ax1--3):** Null aggregation, WorkTime/RestTime, fractal
  periodicity.

**9 theorems:** PERFECT/PERFIDE impossibility (m2.th1), OSCR Collapse
(m6.th1), W = L (th1), Lossiness (th2), BABL origin (th3), Balospe
necessity (th4), Rest necessity (th5), Dual-Nothing (th6), Compassion
Capacity five-gate theorem (th7).

**GrowthGarden archive:** 19 unselected candidates preserved in
:doc:`gg/megatable`.


Origin
========

Developed through FORGE session Sa2_2026m03d27 in two rounds: R1 produced
OOv1; R2 (TEMPER) stress-tested all statements under Iron Maiden with 10
formal tests each. See :doc:`history` for details.


----



|

------------------------------------------------------------------------------------------

|

If you wish to extend such analyses and to
explore many more such questions to replace
eschatological warfare between nuclear
and other nations on Earth with mathematical clarity,
then please consider :doc:`supporting this work by buying in </buy-in/index>`
towards scaling up a ResearchCity that can actually do it (see box below).