Homotopy Type Theory Sandbox (Rev #9, changes)

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The All real right, numbers let are us a get simplified model of numbers. Actual computation in reality occurs in the rational identity numbers. types of type families working…

The Given real types square root does not actually exist. Instead we have a partial function on the rationals which is only approximately a square root up to some rational tolerance$\mathrm{<span><del\; class="diffmod">\; ϵ</del><ins\; class="diffmod">\; A</ins></span>}$ \epsilon A . and$B$ and an identification $p:A = B$, one can define the heterogeneous identity type between type families $x:A \; \mathrm{type} \vdash C(x) \; \mathrm{type}$ and $y:B \; \mathrm{type} \vdash D(y) \; \mathrm{type}$