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Proof step 217 from proof rg2-lem1-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL S = s65] ∥nf false ::- [PL S = s64 ∧ N = n52 ∧ □ ¬ N' < N'' ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ ◇ last] ], □ (N = N' ∧ ¬ N' < N''), boolvar ∨ n2 = N + 1 ∧ N = N'' + 1 until Boolvar, INDHYP-nat(n2) ∧ INDHYP-nat0(n2), R2(pm, s2, S), I(pm, s3), I(pm, s2), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s), Pre2(pm, s), R1(pm, s3, S), R2(pm, s3, S), N ≤ n2, I(pm, s), G2(pm, s2, s2), R2(pm, s2, s64), G1(pm, s2, s3), n52 ≤ n2, R2(pm, s2, s3), R1(pm, s2, s2), I(pm, s64), I(pm, S), ¬ R1(pm, s3, s65), boolvar1 → s2 = s3 ∧ (boolvar ↔ boolvar0) ⊦ [:S | [PL S = s65] ∥nf [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ (□ R2(pm, S', S'') → ◇ last)]], ◇ last

User applied rule decompose

And closed the goal!

Rule argument

positions: 2, 1

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