let A be closed-interval Subset of REAL ; :: thesis: ( cosh is_integrable_on A & cosh | A is bounded )
X: A c= dom cosh by D6;
cosh | A is continuous by Lm12;
hence ( cosh is_integrable_on A & cosh | A is bounded ) by X, INTEGRA5:10, INTEGRA5:11; :: thesis: verum