list_mk_imp

boolSyntax.list_mk_imp : term list * term -> term

Iteratively constructs implications.

list_mk_imp([t1,...,tn],t) returns t1 ==> ( ... (tn ==> t)...).

Failure

Fails if any of t1,…,tn are not of type bool. Also fails if the list of terms is non-empty and t is not of type bool. If the list of terms is empty the type of t can be anything.

Example

> list_mk_imp ([T,F],T);
val it = “T ⇒ F ⇒ T”: term

> try list_mk_imp ([T,F],mk_var("x",alpha));
Exception- HOL_ERR (at boolSyntax.mk_imp: Non-boolean argument) raised

> list_mk_imp ([],mk_var("x",alpha));
val it = “x”: term

See also

boolSyntax.strip_imp, boolSyntax.mk_imp