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Proof step 5 from proof initsubset-initerror-03 (previous step)

init⊆(str, st, st0) ⊦ class = `java.lang.Object' .class, initdone(class, st0), mkfs(class, void_type, `initstate' .field) ' ∈ fis, init⊆(str, st, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init⊆(str, st, st0) ∧ init⊆(str, st0, st1) → init⊆(str, st, st1)
Proof step 4:
¬ (init⊆(str, st, st0) ∧ init⊆(str, st0, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st0))), init⊆(str, st, st0) ⊦ class = `java.lang.Object' .class, initdone(class, st0), mkfs(class, void_type, `initstate' .field) ' ∈ fis, init⊆(str, st, addclass(class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error)) ', st0))

Rule argument

[crewrite-arg: initsubset-trans , F , [str, st, st0, st1] → [str, st, st0, addclass (class, fis + (mkfs(class, void_type, `initstate' .field) ' × initval(error) ) ', st0)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, st, st0, addclass (class, fis + ( mkfs(class, void_type, `initstate' .field) ' × initval(error) ) ', st0))]]