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Proof step 18 from proof initsubset-put-statfield-int (previous step)

init⊆(str, st, st0) ⊦ init⊆(str, st, st0[jvmref -- mkfs(class, int_type, fieldvar) ', intval(i)]), is_fskey(mkfs(class, int_type, fieldvar) ') ∧ mkfs(class, int_type, fieldvar) ' ∈ statfields(mkfs(class, int_type, fieldvar) ' .fs .class) ∧ tdname∃(str, mkfs(class, int_type, fieldvar) ' .fs .class) ∧ ( initdone(mkfs(class, int_type, fieldvar) ' .fs .class, st0[jvmref -- mkfs(class, int_type, fieldvar) ', intval(i)]) → validfield(str, jvmref, mkfs(class, int_type, fieldvar) ', st0[jvmref -- mkfs(class, int_type, fieldvar) ', intval(i)]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
init⊆(str, st, st0) ⊦ init⊆(str, st, st0[jvmref -- mkfs(class, int_type, fieldvar) ', intval(i)]), mkfs(class, int_type, fieldvar) ' ∈ statfields(class) ∧ tdname∃(str, class) ∧ (initdone(class, st0) → validfield(str, jvmref, mkfs(class, int_type, fieldvar) ', st0[jvmref -- mkfs(class, int_type, fieldvar) ', intval(i)]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ initdone (class1, st[ r -- mkfs (class0, int_type, fieldvar) ', val]) ↔ initdone(class1, st)], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .class = class], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]