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Proof step 9 from proof eqex-mode (previous step)

st0[_mode] = noval, st -- r = st0 -- r, eqex(st0, st, r) ⊦ st[_mode] = noval, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ st1 = st2 ↔ (∀ rk. (rk ∈ st1 ↔ rk ∈ st2) ∧ st1[rk] = st2[rk])
Proof step 8:
st0[_mode] = noval, ∀ rk. (rk ∈ st -- r ↔ rk ∈ st0 -- r) ∧ (st -- r)[rk] = (st0 -- r)[rk], eqex(st0, st, r) ⊦ st[_mode] = noval, r = jvmref

Rule argument

[speclemmaarg: ,st1 = st2 ↔ (∀ rk. (rk ∈ st1 ↔ rk ∈ st2) ∧ st1[rk] = st2[rk]) ,[st2, st1] → [st0 -- r, st -- r] ,F ,store ,javastore ,Extension ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0 -- r, st -- r)]]