∃∃T0. ⦃G, L1⦄ ⊢ T1 ➡[h] T0 & ⦃G, L2⦄ ⊢ T2 ➡[h] T0
) →
∀K0,V0. ⬇*[i] L0 ≘ K0.ⓓV0 →
- â\88\80V2. â¦\83G, K0â¦\84 â\8a¢ V0 â\9e¡[h] V2 â\86\92 â\88\80T2. â¬\86*[⫯i] V2 ≘ T2 →
+ â\88\80V2. â¦\83G, K0â¦\84 â\8a¢ V0 â\9e¡[h] V2 â\86\92 â\88\80T2. â¬\86*[â\86\91i] V2 ≘ T2 →
∀L1. ⦃G, L0⦄ ⊢ ➡[h, #i] L1 → ∀L2. ⦃G, L0⦄ ⊢ ➡[h, #i] L2 →
∃∃T. ⦃G, L1⦄ ⊢ #i ➡[h] T & ⦃G, L2⦄ ⊢ T2 ➡[h] T.
#h #G #L0 #i #IH #K0 #V0 #HLK0 #V2 #HV02 #T2 #HVT2 #L1 #HL01 #L2 #HL02
∃∃T0. ⦃G, L1⦄ ⊢ T1 ➡[h] T0 & ⦃G, L2⦄ ⊢ T2 ➡[h] T0
) →
∀K0,V0. ⬇*[i] L0 ≘ K0.ⓓV0 →
- â\88\80V1. â¦\83G, K0â¦\84 â\8a¢ V0 â\9e¡[h] V1 â\86\92 â\88\80T1. â¬\86*[⫯i] V1 ≘ T1 →
+ â\88\80V1. â¦\83G, K0â¦\84 â\8a¢ V0 â\9e¡[h] V1 â\86\92 â\88\80T1. â¬\86*[â\86\91i] V1 ≘ T1 →
∀KX,VX. ⬇*[i] L0 ≘ KX.ⓓVX →
- â\88\80V2. â¦\83G, KXâ¦\84 â\8a¢ VX â\9e¡[h] V2 â\86\92 â\88\80T2. â¬\86*[⫯i] V2 ≘ T2 →
+ â\88\80V2. â¦\83G, KXâ¦\84 â\8a¢ VX â\9e¡[h] V2 â\86\92 â\88\80T2. â¬\86*[â\86\91i] V2 ≘ T2 →
∀L1. ⦃G, L0⦄ ⊢ ➡[h, #i] L1 → ∀L2. ⦃G, L0⦄ ⊢ ➡[h, #i] L2 →
∃∃T. ⦃G, L1⦄ ⊢ T1 ➡[h] T & ⦃G, L2⦄ ⊢ T2 ➡[h] T.
#h #G #L0 #i #IH #K0 #V0 #HLK0 #V1 #HV01 #T1 #HVT1