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Proof step 14 from proof validrefs-maxlen (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), is_obj(str, r, st), # st .refs ≤ # refs, st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']), validrefs(str, r0 ' + refs, ty1, st), ∀ str0, ty0, st0. validrefs(str0, r0 ' + refs, ty0, st0) → # refs ≤ # st0 .refs ⊦ r = jvmref, r = r0, dups(refs), r0 ∈ refs, r ∈ refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), validrefs(str, r0 ' + refs, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, # st .refs ≤ # refs, is_obj(str, r, st), ∀ str0, ty0, st0. validrefs(str0, r0 ' + refs, ty0, st0) → # refs ≤ # st0 .refs ⊦ r = r0, r = jvmref, r ∈ refs, r0 ∈ refs, dups(refs)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]