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Proof step 33 from proof rg2-lem1-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL N = n5 ∧ S = s13 ∧ N' = N'' + 1 until ¬ R1(pm, S', S'')] ∥nf false ::- [PL □ ¬ N' < N'' ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ (□ R2(pm, S', S'') → ◇ last)] ], □ (N = N' ∧ ¬ N' < N''), boolvar ∨ n5 = N ∧ N = N'' + 1 until Boolvar, INDHYP-nat(n5 + 1) ∧ INDHYP-nat0(n5 + 1), R2(pm, s2, S), I(pm, s3), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s), Pre2(pm, s), I(pm, s2), R1(pm, s3, S), R2(pm, s3, S), N ≤ n5 + 1, I(pm, s), G1(pm, s2, s3), R2(pm, s2, s3), I(pm, S), ¬ R1(pm, s3, s13) ⊦ [:S | [PL S = s13] ∥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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