Join Semilattice

---
name: join-semilattice
description: "Join semilattices and sup-preservation."
metadata:
  letter: J
  trit: -1
  seed: 1143
---
# J: Join Semilattice

> *Join semilattices and sup-preservation.*

## Directory Tree

```
join-semilattice/
├── SKILL.md
├── order/
├── lattice.idr
```

## GF(3) Assignment

Letter J → trit = -1

## Integration

```scheme
(define (join_semilattice x)
  ;; Join semilattices and sup-preservation.
  x)
```


---

## Autopoietic Marginalia

> **The interaction IS the skill improving itself.**

Every use of this skill is an opportunity for worlding:
- **MEMORY** (-1): Record what was learned
- **REMEMBERING** (0): Connect patterns to other skills  
- **WORLDING** (+1): Evolve the skill based on use



*Add Interaction Exemplars here as the skill is used.*


## CT lattice atlas

Part of: `para-mensch-commons` (CT lattice family).