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Proof step 9 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, r0 = jvmref, is_valid_ref(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∧ st[r0 -- _type] .type ≤ ty

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty
Proof step 8:
okval(val, ty0), r0 = jvmref ∨ r0 ≠ jvmref ∧ is_valid_ref(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref, is_valid_ref(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', val]) ∧ st[r0 -- _type] .type ≤ ty

Rule argument

[crewrite-arg: validrefs-one, F, [st, ty, r, str] → [st, ty, r0, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r0, str)]]