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Proof step 64 from proof junkref-class-01 (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_reftype(ty), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty ⊦ ty = abstract_type, r0 = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[refs .first -- _type] .type, st)

User applied rule cut formula

And obtained the following new goals

Proof step 50:
¬ st[r0 -- _type] .type ≤ ty, st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_reftype(ty), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty ⊦ ty = abstract_type, r0 = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[refs .first -- _type] .type, st)
Proof step 63:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_reftype(ty), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty ⊦ ¬ st[r0 -- _type] .type ≤ ty, ty = abstract_type, r0 = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[refs .first -- _type] .type, st)

Rule argument

[fma-arg: ¬ st[r0 -- _type] .type ≤ ty]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (¬ st[r0 -- _type] .type ≤ ty)]]