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Proof step 19 from proof onlymod-init-01 (previous step)

st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] ≠ initval(undone), st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone), jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st, 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 ⊦ r = jvmref, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone), jvmref ∈ st, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, ∀ rk. rk ∈ st ↔ rk ∈ st0, ∀ r0, sk. r0 ≠ r → st[r0 -- sk] = st0[r0 -- sk], r -- _type ∈ st → st[r -- _type] = st0[r -- _type], r -- _length ∈ st → st[r -- _length] = st0[r -- _length] ⊦ st0[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(undone), r = jvmref, ¬ jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0 ∧ _uninit ∈ st0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]