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Proof step 5 from proof addobj-throw-subset (previous step)

st[_mode] = noval, newref(r, st), _mode ∈ st ⊦ r = jvmref, st -- _mode ⊆ addobj(r, class, fis, st) -- _mode

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ st ⊆ st0 → st -- rk ⊆ st0 -- rk
Proof step 4:
⊦ newref(r, st) → (st ⊆ addobj(r, class1, fis, st0) ↔ st ⊆ st0)

Rule argument

[x0lemmaarg: spec-name: store instance-name: javastore lemma-name: subset-delete antecedent: succedent: st ⊆ st0 → st -- rk ⊆ st0 -- rk substlist: [st0, rk, st] → [addobj(r, class, fis, st), _mode, st] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : store, javastore, sub-ref, ⊦ st ⊆ st])], [EXTRATERMS : (addobj(r, class, fis, st), _mode, st)]]