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Proof step 65 from proof validref-putrkvs (previous step)

validref(str, r, ty, st), validval(str, rk, val, st), validvals(str, rkvs0, st), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ validref(str, r, ty, st[(rk × val) ' + rkvs0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ st[(rk × val) ' + rkvs] = (st[rk, val][rkvs])
Proof step 64:
validref(str, r, ty, st), validval(str, rk, val, st), validvals(str, rkvs0, st), ∀ str, r, ty, st. validref(str, r, ty, st) ∧ validvals(str, rkvs0, st) → validref(str, r, ty, st[rkvs0]) ⊦ validref(str, r, ty, st[rk, val][rkvs0])

Rule argument

[speclemmaarg: ,st[(rk × val) ' + rkvs] = (st[rk, val][rkvs]) ,[rkvs, val, rk, st] → [rkvs0, val, rk, st] ,F ,storefuns , ,put-refkeyvalues-rec ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (rkvs0, val, rk, st)]]