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Proof step 9 from proof seq-sat-rg (previous step)

□ Inpf = Inpf', □ (Out = Outf(m) ∧ Outf' = (Outf(m; Out'))), [:S, Out | SEQ#(m, Inpf(m); S, Out)], GInv(S), Pr(m)(S) ⊦ (Ry(m)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Po(m)(S) ∧ GInv(S);Gr(m)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))), [:S, Out | SEQ#(m, Inpf(m); S, Out)] ∧ □ Out' = Outf'(m)

User applied rule case distinction

And obtained the following new goals

Proof step 10:
□ (Out = Outf(m) ∧ Outf' = (Outf(m; Out'))), □ Inpf = Inpf', [:S, Out | SEQ#(m, Inpf(m); S, Out)], GInv(S), Pr(m)(S) ⊦ (Ry(m)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Po(m)(S) ∧ GInv(S);Gr(m)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))), □ Out' = Outf'(m)

Rule argument

pos: right 2

Proof step 9 from proof seq-sat-rg (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information