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Proof step 4 from proof junkref-put-field (previous step)

mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(r, st), junkrefs(str, r ' + refs0, (st[r -- mkfs(class, ty, fieldvar) ', refval(r0)][r -- _type]) .type, st[r -- mkfs(class, ty, fieldvar) ', refval(r0)]), junkrefs(str, r ' + refs0, (st[r -- mkfs(class, ty, fieldvar) ', refval(r0)][r -- _type]) .type, st) ⊦ r0 = jvmref, junkref(str, r0, st), junkrefs(str, r ' + refs0, st[r -- _type] .type, st)

Heuristic weak cut applied rule cut formula

And closed the goal!

Rule argument

[fma-arg: r -- _type = r -- mkfs(class, ty, fieldvar) ']

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPFORWARD : ⊦ _type = mkfs(class1, ty, fieldvar) ' → class1 = `java.lang.Object' .class ∧ ty = void_type ∧ fieldvar = `type' .field], [CSIMPSEQ : ⊦ mkfs (`java.lang.Object' .class, void_type, `type' .field) ' = _type], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ ty ≤ void_type ↔ ty = void_type], [CSIMPSEQ : ⊦ ¬ _type ∈ instfields(class)])], [EXTRAFMAS : (r -- _type = r -- mkfs(class, ty, fieldvar) ')]]