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Proof step 131 from proof rg2-lem2-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL N' = N'' + 1 until last ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥nf false ::- [PL N = n24 ∧ S = s24 ∧ □ ¬ N' < N''] ], □ (N = N' ∧ ¬ N' < N''), N0 = N0'' + 1 until Boolvar, INDHYP-nat(n3) ∧ INDHYP-nat0(N0 + 1), R1(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 ≤ n3, I(pm, s), G2(pm, s2, s3), n24 ≤ n3, R1(pm, s2, s3), I(pm, S), ¬ R2(pm, s3, s24) ⊦ [:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S')) ∧ (□ R1(pm, S', S'') → ◇ last)] ∥nf [PL S = s24]], ◇ last

User applied rule decompose

And closed the goal!

Rule argument

positions: 2, 1

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