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Proof step 34 from proof lemma3 (previous step)

exec(sys0, co) = sys2 × out0, exec(sys, co) = sys1 × out, inv(sys), inv(sys0), eqds(sys, sources(sys, co ' + cl, d), sys0) ⊦ eqds(sys1, sources(sys1, cl, d), sys2)

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: [sys, ds, sys0] → [sys1, sources(sys1, cl, d), sys2] 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 : (sys1, sources(sys1, cl, d), sys2)]]