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Proof step 2 from proof spawn-sat-rg-strnger (previous step)

[:Inpf, S, Outf | SPAWN#(0; Inpf, S, Outf)], GInv(S), Prton(0)(S) ⊦ (Rton(0)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(0)(S) ∧ GInv(S);Gton(0)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S')))

User applied rule tl call left

And obtained the following new goals

Proof step 3:
[:Inpf, S, Outf | if* n = 0 then SEQ#(0, Inpf(n); S, Outf(n)) else SEQ#(n, Inpf(n); S, Outf(n)) ∥ SPAWN#(n - 1; Inpf, S, Outf)], GInv(S), Prton(0)(S), n = 0 ⊦ (Rton(0)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(0)(S) ∧ GInv(S);Gton(0)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S')))

Rule argument

pos: left 1

Additional information

Used simplifier rules: SPAWN#(n; Inpf, S, Outf) {if* n = 0 then SEQ#(0, Inpf(n); S, Outf(n)) else SEQ#(n, Inpf(n); S, Outf(n)) ∥ SPAWN#(n - 1; Inpf, S, Outf) };