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Proof step 13 from proof lemma4 (previous step)

inv(sys) ⊦ eqds(sys, sources(exec(sys, co) .1, cl, d), exec(sys, co) .1), cdom(sys, co) ∈ sources(sys, co ' + cl, d)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
exec(sys, co) = sys0 × out, inv(sys) ⊦ eqds(sys, sources(sys0, cl, d), sys0), cdom(sys, co) ∈ sources(sys, co ' + cl, d)

Rule argument

[x0lemmaarg: spec-name: pair instance-name: gen-sys-out lemma-name: elim antecedent: succedent: sys = so .1 ∧ out = so .2 ↔ so = sys × out substlist: [so, sys, out] → [exec(sys, co), sys0, out] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sys = so .1 ∧ out = so .2 ↔ so = sys × out])], [EXTRATERMS : (exec(sys, co), sys0, out)]]