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Proof step 7 from proof addobj-throw-subset (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st ⊆ st0[rk, val] ↔ st ⊆ st0 ∧ ¬ rk ∈ st ∨ rk × val ∈ st ∧ st -- rk ⊆ st0 -- rk
Proof step 6:
st[_mode] = noval, newref(r, st) ⊦ r = jvmref, st ⊆ addobj(r, class, fis, st) ∧ ¬ _mode ∈ st ∨ _mode × noval ∈ st ∧ st -- _mode ⊆ addobj(r, class, fis, st) -- _mode

Rule argument

[x0lemmaarg: spec-name: store instance-name: javastore lemma-name: subset-put-01 antecedent: succedent: st ⊆ st0[rk, val] ↔ st ⊆ st0 ∧ ¬ rk ∈ st ∨ rk × val ∈ st ∧ st -- rk ⊆ st0 -- rk substlist: [val, rk, st0, st] → [noval, _mode, addobj(r, class, fis, st), 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 : ()], [EXTRATERMS : (noval, _mode, addobj(r, class, fis, st), st)]]