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Proof step 21 from proof okbytearray-put-byteval (previous step)

okbytearray(r, st) ⊦ okbytearray(r, st[((r0 -- i ') × byteval(by)) ' + rkvs]) ↔ okbytearray(r, st[rkvs]), r0 -- _length ∈ rkvs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ rk ∈ rkvs → st[(rk × val) ' + rkvs] = (st[rkvs][rk, val])
Proof step 20:
¬ r0 -- i ' ∈ rkvs, okbytearray(r, st) ⊦ okbytearray(r, st[rkvs][r0 -- i ', byteval(by)]) ↔ okbytearray(r, st[rkvs]), r0 -- _length ∈ rkvs

Rule argument

[speclemmaarg: ,¬ rk ∈ rkvs → st[(rk × val) ' + rkvs] = (st[rkvs][rk, val]) ,[rkvs, val, rk, st] → [rkvs, byteval(by), r0 -- i ', st] ,F ,storefuns , ,put-rkvs-switch-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk ∈ rkvs → st[(rk × val) ' + rkvs] = st[rkvs]], [CSIMPSEQ : ⊦ (rkvs + rkvs0) + rkvs1 = rkvs + rkvs0 + rkvs1])], [EXTRATERMS : (rkvs, byteval(by), r0 -- i ', st)]]