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Proof step 121 from proof rg2-lem2-term-unfair (previous step)

□ (N = N' ∧ ¬ N' < N''), [:S | Boolvar ::- [PL N = n22 ∧ S = s22 ∧ N' = N'' + 1 until last ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥nf false ::- [PL S = s23 ∧ N = n23 ∧ □ ¬ N' < N'' ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ ◇ last] ], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), INDHYP-nat(n22 + 1) ∧ INDHYP-nat0(n2), N = n22 + 1, R2(pm, s3, S), R1(pm, s3, S), Pre2(pm, s), Pre1(pm, s), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), I(pm, s3), I(pm, s2), R1(pm, s2, S), I(pm, s23), I(pm, S), I(pm, s22), R1(pm, s2, s3), R2(pm, s2, s2), n23 ≤ n22 + 1, R2(pm, s3, s23), G2(pm, s2, s3), R1(pm, s2, s22), G1(pm, s2, s2), I(pm, s), boolvar1 → s2 = s3 ∧ boolvar0 ∧ n2 = n4 ⊦ ◇ last

User applied rule insert proof lemma

And obtained the following new goals

Rule argument

path: 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 7, 5, 1, 1, 2, 1, 1, 1, 1 subst: [R1, pm, S, R2, N, Boolvar, n13, Post1, s, G1, Post2, G2, n2, Pre2, Pre1, I] → [R1, pm, S, R2, N, Boolvar, n22, Post1, s, G1, Post2, G2, n2, Pre2, Pre1, I]

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