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

fs = mkfs(class, ty0, fieldvar), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. validrefs(str, acc + refs0, ty, st) → validrefs(str, acc, ty, st), acc = [] ∧ refs0 = [] ∨ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ (acc + refs0) .first = st[r -- fs '] .refval ∧ validrefs(str, acc + refs0, ty0, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. validrefs(str, acc + refs0, ty, st) → validrefs(str, acc, ty, st), acc = [] ∧ refs0 = [] ∨ mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']) ∧ (acc + refs0) .first = st[r -- mkfs(class, ty0, fieldvar) '] .refval ∧ validrefs(str, acc + refs0, ty0, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]