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Proof step 7 from proof onlymod-init-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st0, _uninit ∈ st, jvmref ∈ st0, 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(class, void_type, `initstate' .field) '] = initval(undone), r = jvmref, jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]