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Proof step 12 from proof lemma4 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ eqds(sys, ds, sys0) ↔ (∀ d. d ∈ ds → eqd(sys, d, sys0))

Rule argument

[x0lemmaarg: spec-name: Purge instance-name: lemma-name: eqds-def antecedent: succedent: eqds(sys, ds, sys0) ↔ (∀ d. d ∈ ds → eqd(sys, d, sys0)) substlist: [sys0, ds, sys] → [sys0, sources(sys0, cl, d), sys] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sys0, sources(sys0, cl, d), sys)]]