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Proof step 11 from proof init-put-24 (previous step)

jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ ty = void_type, (st[jvmref -- mkfs(class, ty, fieldvar) ', val][jvmref -- mkfs(class1, void_type, `initstate' .field) ']) ≠ initval(undone) ↔ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] ≠ initval(undone), st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(error)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 10:
jvmref -- mkfs(class1, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ jvmref -- mkfs(class1, void_type, `initstate' .field) ' = jvmref -- mkfs(class, ty, fieldvar) ', ty = void_type, (st[jvmref -- mkfs(class, ty, fieldvar) ', val][jvmref -- mkfs(class1, void_type, `initstate' .field) ']) ≠ initval(undone) ↔ st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] ≠ initval(undone), st[jvmref -- mkfs(class1, void_type, `initstate' .field) '] = initval(error)

Rule argument

[fma-arg: jvmref -- mkfs(class1, void_type, `initstate' .field) ' = jvmref -- mkfs(class, ty, fieldvar) ' ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRAFMAS : ( jvmref -- mkfs(class1, void_type, `initstate' .field) ' = jvmref -- mkfs(class, ty, fieldvar) ')]]