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Proof step 13 from proof validmode-superset (previous step)

_mode ∈ st, validmode(str, st[_mode], st), st ⊆ st0, _mode ∈ st0 ⊦ validmode(str, st0[_mode], st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk]
Proof step 12:
_mode ∈ st ∧ st ⊆ st0, _mode ∈ st, validmode(str, st[_mode], st), st ⊆ st0, _mode ∈ st0 ⊦ validmode(str, st[_mode], st0)

Rule argument

[speclemmaarg: ,rk ∈ st ∧ st ⊆ st1 → st1[rk] = st[rk] ,[rk, st, st1] → [_mode, st, st0] ,F ,store ,javastore-ostorea ,superset-elem-eq ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (_mode, st, st0)]]