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Proof step 7 from proof validrefs-put-statfield (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs, ty1, st[jvmref -- sk, val]), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0, sk0, val0. validrefs(str0, r0 ' + refs, ty0, st0[jvmref -- sk0, val0]) ↔ validrefs(str0, r0 ' + refs, ty0, st0) ⊦ r = jvmref, validrefs(str, r0 ' + refs, ty1, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [QUANTTERMLIST : (str, ty1, st, sk, val)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, ty1, st, sk, val)]]