Homotopy Type Theory Sandbox (Rev #10, changes)

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

Given It doesn’t work! You need types indexed by type families, which we don’t have here.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 12, 2025 at 00:57:34 by Anonymous?. See the history of this page for a list of all contributions to it.