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Proof step 4 from proof onlymod-mode (previous step)

st[_mode] = noval, r -- _length ∈ st → st[r -- _length] = st0[r -- _length], r -- _type ∈ st → st[r -- _type] = st0[r -- _type], ∀ r0, sk. r0 ≠ r → st[r0 -- sk] = st0[r0 -- sk], ∀ rk. rk ∈ st ↔ rk ∈ st0 ⊦ st0[_mode] = noval, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ _mode = jvmref -- mkfs(`java.lang.Object' .class, void_type, `mode' .field) '
Proof step 3:
st[jvmref -- mkfs(`java.lang.Object' .class, void_type, `mode' .field) '] = noval, r -- _length ∈ st → st[r -- _length] = st0[r -- _length], r -- _type ∈ st → st[r -- _type] = st0[r -- _type], ∀ r0, sk. r0 ≠ r → st[r0 -- sk] = st0[r0 -- sk], ∀ rk. rk ∈ st ↔ rk ∈ st0 ⊦ st0[jvmref -- mkfs(`java.lang.Object' .class, void_type, `mode' .field) '] = noval, r = jvmref

Rule argument

[speclemmaarg: , _mode = jvmref -- mkfs(`java.lang.Object' .class, void_type, `mode' .field) ' ,[] → [] ,F ,specialkeys , ,mode ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : ()]]