At the risk of more confusion https://ncatlab.org/nlab/show/intensional+type+theory https://ncatlab.org/nlab/show/intensional+type+theory. As a gentle introduc

At the risk of more confusion https://ncatlab.org/nlab/show/intensional+type+theory https://ncatlab.org/nlab/show/intensional+type+theory. As a gentle introduction to modern type theory I would recommend https://arxiv.org/abs/1601.05035 https://arxiv.org/abs/1601.05035.