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Proof step 12 from proof validmode-superset (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
_mode ∈ st0, st ⊆ st0, validmode(str, st[_mode], st), _mode ∈ st ⊦ validmode(str, st[_mode], st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]