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Proof step 3 from proof rg2-lem1-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S')) ∧ ◇ ¬ R1(pm, S', S'')] ∥nf [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ (□ R2(pm, S', S'') → ◇ last)] ], RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s), Pre2(pm, s), I(pm, S), I(pm, s) ⊦ ◇ last

User applied rule nfilv ev 1

And obtained the following new goals

Proof step 4:
∃ N. □ (N = N' ∧ ¬ N' < N'') ∧ [:S | [PL N' = N'' +1 until ¬ R1(pm, S', S'') ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥nf [PL □ ¬ N' < N'' ∧ [:S | [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ (□ R2(pm, S', S'') → ◇ last)]]] ], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s), Pre2(pm, s), I(pm, S), I(pm, s) ⊦ ◇ last

Proof step 3 from proof rg2-lem1-term-unfair (previous step)

User applied rule nfilv ev 1

And obtained the following new goals

Rule argument

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