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Proof step 10 from proof junkref-put-refval-statfield (previous step)

junkrefs(str, r ' + refs0, (st[jvmref -- sk, val][r -- _type]) .type, st[jvmref -- sk, val]) ⊦ junkrefs(str, r ' + refs0, st[r -- _type] .type, st)

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ junkrefs(str, refs, ty, st) → ¬ junkrefs(str, refs, ty, st[jvmref -- sk, val])
Proof step 9:
¬ junkrefs(str, r ' + refs0, (st[jvmref -- sk, val][r -- _type]) .type, st) → ¬ junkrefs(str, r ' + refs0, (st[jvmref -- sk, val][r -- _type]) .type, st[jvmref -- sk, val]), junkrefs(str, r ' + refs0, (st[jvmref -- sk, val][r -- _type]) .type, st[jvmref -- sk, val]) ⊦ junkrefs(str, r ' + refs0, st[r -- _type] .type, st)

Rule argument

[LEMMAARG : junkrefs-put-refval-statfield, [str, refs, ty, st, sk, val] → [str, r ' + refs0, (st[jvmref -- sk, val][r -- _type]) .type, st, sk, val]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r ' + refs0, (st[jvmref -- sk, val][r -- _type]) .type, st, sk, val)]]