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Proof step 14 from proof junkrefs-delete-02 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r2), junkrefs(str, r2 ' + refs, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str0, ty0, st0, r1. junkrefs(str0, r2 ' + refs, ty0, st0) → junkrefs(str0, r2 ' + refs, ty0, st0 -- r1) ⊦ r = r0, r0 = jvmref, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r2 = st[r0 -- fs '] .refval ∧ junkrefs(str, st[r0 -- fs '] .refval ' + refs, fs .type, st -- r)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_obj(str, r0, st -- r) ↔ is_obj(str, r0, st))])]]