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Proof step 10 from proof validref-put-refval (previous step)

st[r -- _type] .type ≤ ty0, validref(str, r1, ty, st), ty ≤ ty1, is_reftype(ty1) ⊦ r = jvmref, junkref(str, r, st), (st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)][r -- _type]) .type ≤ ty0 ∧ ¬ junkref(str, r, st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)])

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 9:
st[r -- _type] .type ≤ ty0, validref(str, r1, ty, st), ty ≤ ty1, is_reftype(ty1) ⊦ r -- _type = r0 -- mkfs(class, ty1, fieldvar) ', r = jvmref, junkref(str, r, st), (st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)][r -- _type]) .type ≤ ty0 ∧ ¬ junkref(str, r, st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)])

Rule argument

[fma-arg: r -- _type = r0 -- mkfs(class, ty1, fieldvar) ']

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [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 : ⊦ ¬ is_reftype(void_type)])], [EXTRAFMAS : (r -- _type = r0 -- mkfs(class, ty1, fieldvar) ')]]