---------------------------------------------------------------------- NEGATE_CONV (Arith) ---------------------------------------------------------------------- NEGATE_CONV : (conv -> conv) SYNOPSIS Function for negating the operation of a conversion that proves a formula to be either true or false. DESCRIBE This function negates the operation of a conversion that proves a formula to be either true or false. For example, if {conv} proves {"t"} to be equal to {"T"} then {NEGATE_CONV conv} will prove {"~t"} to be {"F"}. FAILURE Fails if the application of the conversion to the negation of the formula does not yield either {"T"} or {"F"}. EXAMPLE #ARITH_CONV "!n. 0 <= n";; |- (!n. 0 <= n) = T #NEGATE_CONV ARITH_CONV "~(!n. 0 <= n)";; |- ~(!n. 0 <= n) = F #NEGATE_CONV ARITH_CONV "?n. ~(0 <= n)";; |- (?n. ~0 <= n) = F ----------------------------------------------------------------------