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Proof step 109 from proof rg2-lem1-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL N = n19 ∧ S = s27 ∧ N' = N'' + 1 until ¬ R1(pm, S', S'') ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥nf false ::- [PL N = n20 ∧ S = s28 ∧ □ ¬ N' < N'' ∧ ¬ □ R2(pm, S', S'')] ], □ (N = N' ∧ ¬ N' < N''), boolvar ∨ n19 = N ∧ N = N'' + 1 until Boolvar, INDHYP-nat(n19 + 1) ∧ INDHYP-nat0(n19 + 1), R1(pm, s2, S), I(pm, s2), I(pm, s3), 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 ≤ n19 + 1, I(pm, s), G1(pm, s2, s2), R1(pm, s2, s27), G2(pm, s2, s3), n20 ≤ n19 + 1, R2(pm, s2, s2), R1(pm, s2, s3), I(pm, s27), I(pm, S), ¬ R2(pm, s3, s28), boolvar1 → s2 = s3 ∧ (boolvar ↔ boolvar0) ⊦ [:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S')) ∧ (□ R1(pm, S', S'') → ◇ last)] ∥nf [PL S = s28]], ◇ last

User applied rule decompose

And closed the goal!

Rule argument

positions: 2, 1

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