⊦ validmode(str, st) ↔ _mode ∈ st ∧ validmode(str, st[_mode], st)
st[_mode] = noval ⊦ _mode ∈ st ∧ validmode(str, st[_mode], st) ↔ _mode ∈ st
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, str)]]