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Proof step 24 from proof fits-subset (previous step)

st[r -- sk] = refval(r0), st0[r -- _type] .type = mkclasstype(class), r ∈ st0, sk ∈ instfields(class), fits(r0, sks0, st), st0 ⊆ st, is_obj(str, r, st0), r -- _type ∈ st0, ∀ st0, st, r, str. st0 ⊆ st ∧ fits(r, sks0, st) → junkref(str, r, st0) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st0), is_referencevalue(st0[r -- sk]) ∧ fits(st0[r -- sk] .refval, sks0, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk]
Proof step 10:
¬ (r -- sk ∈ st0 ∧ st0 ⊆ st), st[r -- sk] = refval(r0), st0[r -- _type] .type = mkclasstype(class), r ∈ st0, sk ∈ instfields(class), fits(r0, sks0, st), st0 ⊆ st, is_obj(str, r, st0), r -- _type ∈ st0, ∀ st0, st, r, str. st0 ⊆ st ∧ fits(r, sks0, st) → junkref(str, r, st0) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st0), is_referencevalue(st0[r -- sk]) ∧ fits(st0[r -- sk] .refval, sks0, st0)
Proof step 23:
r -- sk ∈ st0 ∧ st0 ⊆ st, st0[r -- sk] = refval(r0), st0[r -- _type] .type = mkclasstype(class), r ∈ st0, sk ∈ instfields(class), fits(r0, sks0, st), st0 ⊆ st, is_obj(str, r, st0), r -- _type ∈ st0, ∀ st0, st, r, str. st0 ⊆ st ∧ fits(r, sks0, st) → junkref(str, r, st0) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st0), is_referencevalue(st0[r -- sk]) ∧ fits(st0[r -- sk] .refval, sks0, st0)

Rule argument

[speclemmaarg: ,rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk] ,[rk, st, st1] → [r -- sk, st0, st] ,F ,store ,javastore-ostorea ,superset-elem-eq ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- sk, st0, st)]]