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Proof step 36 from proof lemma3 (previous step)

inv(sys), inv(sys0), eqds(sys, sources(sys, co ' + cl, d), sys0) ⊦ eqds(exec(sys, co) .1, sources(exec(sys, co) .1, cl, d), exec(sys0, co) .1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 35:
exec(sys, co) = sys1 × out, inv(sys), inv(sys0), eqds(sys, sources(sys, co ' + cl, d), sys0) ⊦ eqds(sys1, sources(sys1, cl, d), exec(sys0, co) .1)

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), sys1, 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), sys1, out)]]