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Proof step 8 from proof validrefnotnull-array-len-subset (previous step)

validrefnotnull(`docs2store', r, mkarraytype(byte_type), st), st ⊆ st0 ⊦ st[r -- _length] .intval = st0[r -- _length] .intval, r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk ∈ st ∧ st[rk] ≠ st1[rk] → ¬ st ⊆ st1
Proof step 7:
¬ (r -- _length ∈ st ∧ st[r -- _length] ≠ st0[r -- _length]), validrefnotnull(`docs2store', r, mkarraytype(byte_type), st), st ⊆ st0 ⊦ st[r -- _length] .intval = st0[r -- _length] .intval, r = jvmref

Rule argument

[speclemmaarg: ,rk ∈ st ∧ st[rk] ≠ st1[rk] → ¬ st ⊆ st1 ,[rk, st, st1] → [r -- _length, st, st0] ,F ,store ,javastore ,subset-elem-eq-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- _length, st, st0)]]