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Proof step 20 from proof validsubset-put-statfield (previous step)

rk .ref = jvmref ⊦ valid⊆(str, st, st0[rk, val]) ↔ valid⊆(str, st, st0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
rk = r -- sk, r = jvmref ⊦ valid⊆(str, st, st0[rk, val]) ↔ valid⊆(str, st, st0)

Rule argument

[speclemmaarg: ,r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk ,[rk, r, sk] → [rk, r, sk] ,T ,refkey , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ r = rk .ref ∧ sk = rk .key ↔ rk = r -- sk])], [EXTRATERMS : (rk, r, sk)]]