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Proof step 16 from proof validrefs-put-statfield (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs, ty1, st), 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[jvmref -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])]]