Nuprl Definition : transEquivbeta-type

transEquivbeta-type{i:l}(G;A;B) ==
  ΠEquiv(decode(A);decode(B)) Π(decode(A))p (Path_((decode(B))p)p app(transEquivFun(app(UA; (q)p)); q)
                                                  app(equiv-fun((q)p); q))



Definitions occuring in Statement :  transEquiv-trans: transEquivFun(p) univ-a: UA universe-decode: decode(t) equiv-fun: equiv-fun(f) cubical-equiv: Equiv(T;A) path-type: (Path_A b) cubical-app: app(w; u) cubical-pi: ΠB cc-snd: q cc-fst: p cube-context-adjoin: X.A csm-ap-term: (t)s csm-ap-type: (AF)s
Definitions occuring in definition :  cubical-pi: ΠB path-type: (Path_A b) transEquiv-trans: transEquivFun(p) univ-a: UA cube-context-adjoin: X.A cubical-equiv: Equiv(T;A) csm-ap-type: (AF)s universe-decode: decode(t) cubical-app: app(w; u) equiv-fun: equiv-fun(f) csm-ap-term: (t)s cc-fst: p cc-snd: q
FDL editor aliases :  transEquivbeta-type

Latex:
transEquivbeta-type\{i:l\}(G;A;B)  ==
    \mPi{}Equiv(decode(A);decode(B))  \mPi{}(decode(A))p  (Path\_((decode(B))p)p  app(transEquivFun(app(UA;  (q)p));
                                                                                                                                            q)  app(equiv-fun((q)p);  q))



Date html generated: 2018_05_23-PM-06_26_00
Last ObjectModification: 2017_11_24-AM-10_38_20

Theory : cubical!type!theory


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