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Proof step 19 from proof unchanged-lookup-generic (previous step)

st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, r0, st0), is_classtype(st0[r0 -- _type] .type) → sk ∈ instfields(st0[r0 -- _type] .type .class), is_classtype(st0[r0 -- _type] .type) → (∀ fs. fs ' ∈ instfields(st0[r0 -- _type] .type .class) → st[r0 -- fs '] = st0[r0 -- fs ']) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk], is_arraytype(st0[r0 -- _type] .type)

User applied rule cut formula

And obtained the following new goals

Proof step 12:
is_classtype(st0[r0 -- _type] .type), st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, r0, st0), is_classtype(st0[r0 -- _type] .type) → sk ∈ instfields(st0[r0 -- _type] .type .class), is_classtype(st0[r0 -- _type] .type) → (∀ fs. fs ' ∈ instfields(st0[r0 -- _type] .type .class) → st[r0 -- fs '] = st0[r0 -- fs ']) ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk], is_arraytype(st0[r0 -- _type] .type)
Proof step 18:
st[r0 -- _type] = st0[r0 -- _type], path∃(str, r, r0, st), path∃(str, r, r0, st0), is_classtype(st0[r0 -- _type] .type) → sk ∈ instfields(st0[r0 -- _type] .type .class), is_classtype(st0[r0 -- _type] .type) → (∀ fs. fs ' ∈ instfields(st0[r0 -- _type] .type .class) → st[r0 -- fs '] = st0[r0 -- fs ']) ⊦ is_classtype(st0[r0 -- _type] .type), r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk], is_arraytype(st0[r0 -- _type] .type)

Rule argument

[fma-arg: is_classtype(st0[r0 -- _type] .type)]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (is_classtype(st0[r0 -- _type] .type))]]