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Proof step 74 from proof validrefs-putshort-field (previous step)

refs1 = r1 + refs0, (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- mkfs(class0, ty0, fieldvar0) ']) = refval(r1), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, refs1, ty0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), mkfs(class0, ty0, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), r0 ≠ r ∨ class0 ≠ class ∨ ty0 ≠ short_type ∨ fieldvar0 ≠ fieldvar, ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ refs1 = [], r0 = jvmref, junkref(str, r0, st), ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r1 = st[r0 -- fs '] .refval ∧ validrefs(str, refs1, fs .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 73:
(st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- mkfs(class0, ty0, fieldvar0) ']) = refval(r1), mkfs(class0, ty0, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r1 ' + refs0, ty0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), r0 ≠ r ∨ class0 ≠ class ∨ ty0 ≠ short_type ∨ fieldvar0 ≠ fieldvar, ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + r1 + refs0) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r1 = st[r0 -- fs '] .refval ∧ validrefs(str, st[r0 -- fs '] .refval ' + refs0, fs .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]