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Proof step 8 from proof validrefs-delete-03 (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), validrefs(str, r2 ' + refs, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), ∀ str0, ty1, st0, r1. validrefs(str0, r2 ' + refs, ty1, st0) → r1 = r2 ∨ r1 ∈ refs ∨ validrefs(str0, r2 ' + refs, ty1, st0 -- r1) ⊦ r = r2, r0 = jvmref, r = r0, r ∈ refs, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']) ∧ r2 = st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ∧ validrefs(str, st[r0 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, mkfs(class, ty0, fieldvar) .type, st -- r)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r2 ' + refs, ty0, st), ∀ str0, ty1, st0, r1. validrefs(str0, r2 ' + refs, ty1, st0) → r1 = r2 ∨ r1 ∈ refs ∨ validrefs(str0, r2 ' + refs, ty1, st0 -- r1) ⊦ r = r0, r0 = jvmref, r = r2, r ∈ refs, validrefs(str, r2 ' + refs, ty0, st -- r)

Rule argument

[emptyarg]

Additional information

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