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Proof step 9 from proof initsubset-validstatfield-forward (previous step)

initdone(class0, st), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, st0), validfield(str, jvmref, mkfs(class0, ty, fieldvar) ', st), ∀ class. initdone(class, st) → initdone(class, st0), ∀ class. initerror(class, st) → initerror(class, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), initdone(class0, st) ∧ initdone(class0, st0) ∧ tdname∃(str, class0) ∧ mkfs(class0, ty, fieldvar) ' ∈ statfields(class0) ∧ validstatfield(str, mkfs(class0, ty, fieldvar) ', st) → validstatfield(str, mkfs(class0, ty, fieldvar) ', st0), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0) ⊦ validfield(str, jvmref, mkfs(class0, ty, fieldvar) ', st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]