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Proof step 25 from proof junkref-class-01 (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r0 ' + refs, ty, st) ⊦ r0 = jvmref, (¬ st[r0 -- _type] .type ≤ ty ∨ (∃ refs0. refs0 ≠ [] ∧ refs0 .first = r0 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st))) ∧ (is_reftype(ty) ∨ ty = abstract_type)

User applied rule cut formula

And obtained the following new goals

Proof step 9:
is_reftype(ty) ∨ ty = abstract_type, st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r0 ' + refs, ty, st) ⊦ r0 = jvmref, (¬ st[r0 -- _type] .type ≤ ty ∨ (∃ refs0. refs0 ≠ [] ∧ refs0 .first = r0 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st))) ∧ (is_reftype(ty) ∨ ty = abstract_type)
Proof step 24:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r0 ' + refs, ty, st) ⊦ is_reftype(ty) ∨ ty = abstract_type, r0 = jvmref, (¬ st[r0 -- _type] .type ≤ ty ∨ (∃ refs0. refs0 ≠ [] ∧ refs0 .first = r0 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st))) ∧ (is_reftype(ty) ∨ ty = abstract_type)

Rule argument

[fma-arg: (is_reftype(ty) ∨ ty = abstract_type)]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : ((is_reftype(ty) ∨ ty = abstract_type))]]