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Proof step 11 from proof validrefs-put-notin-02 (previous step)

okval(val, ty0), validrefs(str, r0 ', ty, st) ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, validrefs(str, r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty
Proof step 10:
okval(val, ty0), validrefs(str, r0 ', ty, st) ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref ∨ r0 ≠ jvmref ∧ is_valid_ref(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∧ (st[r -- mkfs(class, ty0, fieldvar) ', val][r0 -- _type]) .type ≤ ty

Rule argument

[crewrite-arg: validrefs-one , F , [st, ty, r, str] → [st[r -- mkfs(class, ty0, fieldvar) ', val], ty, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, ty0, fieldvar) ', val], ty, r0, str)]]