Longman Dictionary of Contemporary English - insist

~ v 1 to say firmly and repeatedly that something is true, especially when other people think it may not be true  (insist that)  (Mike insisted that he was right.)  (She kept insisting on her innocence.) 2 to demand that something should happen and refuse to let anyone say no + on  (Her parents insisted on speaking to the headmistress. | Stay for supper - I insist!) insist that  (They insisted that everyone should come to the party.) 3 if you insist spoken used when agreeing to do something that you do not really want to do  ("Why don't you call them up today?" "Oh, if you insist!") insist on sth phr v 1 to think that something is very important, and demand that you have it  (We insist on the highest standards of cleanliness in the hotel.) 2 to keep doing something, especially something that is inconvenient or annoying  (She will insist on washing her hair just when I want to have a bath.)