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Proof step 16 from proof validrefs-levelsubset (previous step)

fs = mkfs(class, ty, fieldvar), st[r -- _type] .type ≤ ty0, level⊆(str, str0), is_obj(str, r, st), ∀ str, ty0, st, str0. validrefs(str, acc, ty0, st) ∧ level⊆(str, str0) → validrefs(str0, acc, ty0, st), acc = [] ∨ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ validrefs(str, acc, ty, st) ⊦ r = jvmref, validrefs(str0, r ' + acc, ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
st[r -- _type] .type ≤ ty0, level⊆(str, str0), is_obj(str, r, st), ∀ str, ty0, st, str0. validrefs(str, acc, ty0, st) ∧ level⊆(str, str0) → validrefs(str0, acc, ty0, st), acc = [] ∨ mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']) ∧ acc .first = st[r -- mkfs(class, ty, fieldvar) '] .refval ∧ validrefs(str, acc, ty, st) ⊦ r = jvmref, validrefs(str0, r ' + acc, ty0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]