Homotopy Type Theory Sandbox (Rev #9)

All right, let us get the identity types of type families working…

Given types AA and BB and an identification p:A=Bp:A = B, one can define the heterogeneous identity type between type families x:AtypeC(x)typex:A \; \mathrm{type} \vdash C(x) \; \mathrm{type} and y:BtypeD(y)typey:B \; \mathrm{type} \vdash D(y) \; \mathrm{type}

x:A.C(x)= (A,B,p)y:B.D(y)x:A.C(x) =^{(A, B, p)} y:B.D(y)

Revision on April 11, 2025 at 21:53:25 by Anonymous?. See the history of this page for a list of all contributions to it.