| thin_thin: ∀L1,L2,I,V,e.
thin L1 0 e L2 → thin (L1. ♭I V) 0 (e + 1) L2
| thin_skip: ∀L1,L2,I,V1,V2,d,e.
- thin L1 d e L2 → [d,e]← L1 / V1 ≡ V2 →
+ thin L1 d e L2 → L1 ⊢ ↓[d,e] V1 ≡ V2 →
thin (L1. ♭I V1) (d + 1) e (L2. ♭I V2)
.
-interpretation "thinning" 'RThin L1 d e L2 = (thin L1 d e L2).
+interpretation "thinning" 'RSubst L1 d e L2 = (thin L1 d e L2).