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Proof step 39 from proof validfieldinits-def-01 (previous step)

validfieldinits(str, fis0, st), okval(val, ty), validfieldinits(fis0, st), type∃(str, ty), ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type), is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty, ¬ is_referencevalue(val) ∨ ¬ junkref(str, val .refval, st), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)) ⊦ junkrefs(str, fis0 .vals, st), validval(str, val, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ validval(str, val, ty, st) ↔ okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))
Proof step 38:
validfieldinits(str, fis0, st), okval(val, ty), validfieldinits(fis0, st), type∃(str, ty), ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type), is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty, ¬ is_referencevalue(val) ∨ ¬ junkref(str, val .refval, st), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)) ⊦ junkrefs(str, fis0 .vals, st), okval(val, ty) ∧ (is_referencevalue(val) → validrefval(str, val, ty, st))

Rule argument

[crewrite-arg: validval-def , F , [st, ty, val, str] → [st, ty, val, str] ]

Additional information

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