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Proof step 5 from proof validref-class-rec-better-keep (previous step)

is_obj(str, r, st), is_obj(str, r, st), st[r -- _type] .type ≤ ty ∧ ¬ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ ¬ validref(str, st[r -- fs '] .refval, fs .type, st))) ⊦ st[r -- _type] .type ≤ ty ∧ ( ¬ mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∨ ¬ is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']) ∨ st[r -- mkfs(class, ty0, fieldvar) '] .refval = jvmref ∨ st[st[r -- mkfs(class, ty0, fieldvar) '] .refval -- _type] .type ≤ ty0 ∧ validref(str, st[r -- mkfs(class, ty0, fieldvar) '] .refval, ty0, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']) ⊦ st[r -- mkfs(class, ty0, fieldvar) '] .refval = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ ¬ validref(str, st[r -- fs '] .refval, fs .type, st)), st[st[r -- mkfs(class, ty0, fieldvar) '] .refval -- _type] .type ≤ ty0 ∧ validref(str, st[r -- mkfs(class, ty0, fieldvar) '] .refval, ty0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]