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Proof step 26 from proof isobj-subset (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, is_obj(r, class, st), ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk], r -- _type ∈ st1, r ∈ st, r ∈ st1 ⊦ r = jvmref, is_obj(r, st1[r -- _type] .type .class, st1) ∧ is_classtype(st1[r -- _type] .type) ∧ is_typevalue(st1[r -- _type])

User applied rule all left

And obtained the following new goals

Proof step 25:
st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, is_obj(r, class, st), r -- _type ∈ st → r -- _type ∈ st1 ∧ st[r -- _type] = st1[r -- _type], ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk], r -- _type ∈ st1, r ∈ st, r ∈ st1 ⊦ r = jvmref, is_obj(r, st1[r -- _type] .type .class, st1) ∧ is_classtype(st1[r -- _type] .type) ∧ is_typevalue(st1[r -- _type])

Rule argument

[EXRARG : pos: left 4, [extquanttermlist: (r -- _type) abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- _type)]]