---------------------------------------------------------------------- bool_EQ_CONV (Conv) ---------------------------------------------------------------------- bool_EQ_CONV : conv SYNOPSIS Simplifies expressions involving boolean equality. KEYWORDS conversion. DESCRIBE The conversion {bool_EQ_CONV} simplifies equations of the form {t1 = t2}, where {t1} and {t2} are of type {bool}. When applied to a term of the form {t = t}, the conversion {bool_EQ_CONV} returns the theorem |- (t = t) = T When applied to a term of the form {t = T}, the conversion returns |- (t = T) = t And when applied to a term of the form {T = t}, it returns |- (T = t) = t FAILURE Fails unless applied to a term of the form {t1 = t2}, where {t1} and {t2} are boolean, and either {t1} and {t2} are syntactically identical terms or one of {t1} and {t2} is the constant {T}. EXAMPLE - bool_EQ_CONV (Parse.Term `T = F`); val it = |- (T = F) = F : thm - bool_EQ_CONV (Parse.Term `(0 < n) = T`); val it = |- (0 < n = T) = 0 < n : thm ----------------------------------------------------------------------