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Proof step 7 from proof initerror-04 (previous step)

jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ (((jvmref = r ∧ mkfs(class1, void_type, `initstate' .field) ' = _type) ⊃ val; st[jvmref -- mkfs(class1, void_type, `initstate' .field) '])) = initval(error) ↔ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(error)

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 4:
(((jvmref = r ∧ mkfs(class1, void_type, `initstate' .field) ' = _type) ⊃ val; st[jvmref -- mkfs(class1, void_type, `initstate' .field) '])) = initval(error), jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(error)
Proof step 6:
st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(error), jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ (((jvmref = r ∧ mkfs(class1, void_type, `initstate' .field) ' = _type) ⊃ val; st[jvmref -- mkfs(class1, void_type, `initstate' .field) '])) = initval(error)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]