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Proof step 5 from proof lemma1 (previous step)

inv(sys), wf(cl) ⊦ eqd(run(sys, cl), d, run(sys, purge(cl, d)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ wf(cl) ∧ inv(sys) ∧ inv(sys0) ∧ eqd(sys, d, sys0) → eqd(run(sys, cl), d, run(sys0, purge(cl, d)))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: lemma1-gen antecedent: succedent: wf(cl) ∧ inv(sys) ∧ inv(sys0) ∧ eqd(sys, d, sys0) → eqd(run(sys, cl), d, run(sys0, purge(cl, d))) substlist: [sys0, d, cl, sys] → [sys, d, cl, 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 : (sys, d, cl, sys)]]