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Proof step 6 from proof validstatfield-levelsubset (previous step)

tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), level⊆(str, str0), initdone(class, st) → validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st) ⊦ is_fskey(mkfs(class, ty, fieldvar) ') ∧ mkfs(class, ty, fieldvar) ' ∈ statfields(mkfs(class, ty, fieldvar) ' .fs .class) ∧ tdname∃(str0, mkfs(class, ty, fieldvar) ' .fs .class) ∧ (initdone(mkfs(class, ty, fieldvar) ' .fs .class, st) → validfield(str0, jvmref, mkfs(class, ty, fieldvar) ', st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ tdname∃(str, class) ∧ ¬ tdname∃(str0, class) → ¬ level⊆(str, str0)
Proof step 5:
tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), level⊆(str, str0), initdone(class, st), tdname∃(str0, class), validfield(str, jvmref, mkfs(class, ty, fieldvar) ', st) ⊦ validfield(str0, jvmref, mkfs(class, ty, fieldvar) ', st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .class = class], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]