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Proof step 12 from proof compatval-put (previous step)

compat(str, refval(r), ty, st) ⊦ ty0 = void_type, r = jvmref, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_reftype(st[r -- _type] .type) ∧ ( has_classtype(st[r -- _type] .type) → class∃(str, st[r -- _type] .type .jtelemtype .class) ∨ interface∃(str, st[r -- _type] .type .jtelemtype .class) ∨ is_predefined_class(st[r -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r -- _type] .type) → class+∃(str, st[r -- _type] .type .class)) ∧ is_subtype(str, st[r -- _type] .type, ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ compat(str, val, ty, st) ↔ okval(val, ty) ∧ ( is_referencevalue(val) ∧ val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ is_reftype(st[val .refval -- _type] .type) ∧ (has_classtype(st[val .refval -- _type] .type) → tdname+∃(str, st[val .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[val .refval -- _type] .type) → class+∃(str, st[val .refval -- _type] .type .class)) ∧ asgcomp(str, val, ty, st))
Proof step 11:
okval(refval(r), ty) ∧ ( is_referencevalue(refval(r)) ∧ refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r) .refval -- _type]) ∧ is_reftype(st[refval(r) .refval -- _type] .type) ∧ (has_classtype(st[refval(r) .refval -- _type] .type) → tdname+∃(str, st[refval(r) .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[refval(r) .refval -- _type] .type) → class+∃(str, st[refval(r) .refval -- _type] .type .class)) ∧ asgcomp(str, refval(r), ty, st)) ⊦ ty0 = void_type, r = jvmref, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_reftype(st[r -- _type] .type) ∧ ( has_classtype(st[r -- _type] .type) → class∃(str, st[r -- _type] .type .jtelemtype .class) ∨ interface∃(str, st[r -- _type] .type .jtelemtype .class) ∨ is_predefined_class(st[r -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r -- _type] .type) → class+∃(str, st[r -- _type] .type .class)) ∧ is_subtype(str, st[r -- _type] .type, ty)

Rule argument

[crewrite-arg: value-compat , F , [st, ty, val, str] → [st, ty, refval(r), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, refval(r), str)]]