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Proof step 7 from proof validref-subset-01 (previous step)

st ⊆ st0, st0[r -- _type] .type ≤ ty ⊦ r = jvmref, junkref(str, r, st), junkref(str, r, st0), st[r -- _type] .type ≤ ty

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ rk ∈ st ∧ st ⊆ st1 → st[rk] = st1[rk]
Proof step 6:
⊦ ¬ r -- _type ∈ st → (junkref(str, r, st) ↔ r ≠ jvmref)

Rule argument

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

Additional information

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