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Proof step 7 from proof validrefs-put-notin-01 (previous step)

okval(val, fs .type), r0 -- fs ' ∈ st, okval(st[r0 -- fs '], fs .type), st[r0 -- _type] .type ≤ ty, r0 ∈ st ⊦ r0 = jvmref, fs ' = _length, fs ' = _type, is_valid_ref(str, r0, st[r0 -- fs ', val]) ↔ is_valid_ref(str, r0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
fs = mkfs(class, ty0, fieldvar), okval(val, ty0), r0 -- fs ' ∈ st, okval(st[r0 -- fs '], ty0), st[r0 -- _type] .type ≤ ty, r0 ∈ st ⊦ r0 = jvmref, fs ' = _length, fs ' = _type, is_valid_ref(str, r0, st[r0 -- fs ', val]) ↔ is_valid_ref(str, r0, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar)]]