**Auteur** : Équipe 4NK

# Vérification déterministe — Lemma C2 (réduction projective)

## Entrées

- `noyau_both_base_4096.md` : `applications/collatz/collatz_k_scripts/noyau_both_base_4096.md`
- `complétion_minorée_m14_vers_m15.md` : `applications/collatz/collatz_k_scripts/complétion_minorée_m14_vers_m15.md`
- `complétion_minorée_m15_vers_m16.md` : `applications/collatz/collatz_k_scripts/complétion_minorée_m15_vers_m16.md`

## Base projective B12

- |B12| = 192 (attendu 192)
- min(B12) = 27, max(B12) = 4095

## Transition m=14 → m=15 (complétion par frères ⇒ résidu = enfants des both)

- |both parents (m=14)| = 593
- |computed children (m=15)| = 1186 (attendu 2*|both|)
- |listed residual (m=15)| = 1186
- computed children == listed residual : True
- projection both(m=14) mod 4096 == B12 : True

## Transition m=15 → m=16 (projection des both)

- |both parents (m=15)| = 1101
- |computed children (m=16)| = 2202 (attendu 2*|both|)
- projection both(m=15) mod 4096 == B12 : True

## Sorties

- JSON : `docs/artefacts/collatz/c2_projective/verification_c2_projective.json`
- Markdown : `docs/artefacts/collatz/c2_projective/verification_c2_projective.md`