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Proof step 5 from proof init-put-rkvs (previous step)

⊦ r = jvmref, init(str, st[r -- sk, val][rkvs]) ↔ init(str, st[rkvs])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ¬ rk ∈ rkvs → (st[rk, val][rkvs]) = (st[rkvs][rk, val])
Proof step 3:
⊦ rk ∈ rkvs → (st[rk, val][rkvs]) = st[rkvs]
Proof step 4:
⊦ r ≠ jvmref → (init(str, st[r -- sk, val]) ↔ init(str, st))

Rule argument

[crewrite-arg: put-rkvs-switch , F , [rkvs, val, rk, st] → [rkvs, val, r -- sk, st] ]

Additional information

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