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Proof step 36 from proof validval-putrkvs (previous step)

sk .fs = mkfs(class, ty, fieldvar), is_indexkey(sk), validvals(str, rkvs, st), validval(str, val, st[r -- _type] .type .type, st) ⊦ validval(str, val, (st[rkvs][r -- _type]) .type .type, st[rkvs])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ ¬ rk ∈ rkvs → (st[rkvs][rk]) = st[rk]
Proof step 20:
⊦ validvals(str, rkvs, st) → ¬ r -- _type ∈ rkvs
Proof step 35:
¬ r -- _type ∈ rkvs, sk .fs = mkfs(class, ty, fieldvar), is_indexkey(sk), validvals(str, rkvs, st), validval(str, val, st[r -- _type] .type .type, st) ⊦ validval(str, val, st[r -- _type] .type .type, st[rkvs])

Rule argument

[speclemmaarg: ,¬ rk ∈ rkvs → (st[rkvs][rk]) = st[rk] ,[rk, rkvs, st] → [r -- _type, rkvs, st] ,F ,storefuns , ,lookup-put-rkvs-notin ]

Additional information

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