Nuprl Definition : pi-meaning

pi-meaning{i:l}(A; B) ==
  let Xa,a,ma in 
  let Xb,b,mb in 
  provision(allowed(ma) ∧ allowed(mb); cttType(levl= levelsup(level(allow(ma));level(allow(mb)))
                                               type= Πtype(allow(ma)) type(allow(mb))
                                               comp= pi_comp(context-set(Xa);type(allow(ma));comp(allow(ma));
                                                             comp(allow(mb)))))



Definitions occuring in Statement :  context-set: context-set(ctxt) mk_ctt-type-mng: mk_ctt-type-mng ctt-type-comp: comp(T) ctt-type-type: type(T) ctt-type-level: level(T) levelsup: levelsup(x;y) pi_comp: pi_comp(X;A;cA;cB) cubical-pi: ΠB spreadn: spread3 and: P ∧ Q allow: allow(x) allowed: allowed(x) provision: provision(ok; v)
Definitions occuring in definition :  spreadn: spread3 provision: Error :provision,  and: P ∧ Q allowed: Error :allowed,  mk_ctt-type-mng: mk_ctt-type-mng levelsup: levelsup(x;y) ctt-type-level: level(T) cubical-pi: ΠB pi_comp: pi_comp(X;A;cA;cB) context-set: context-set(ctxt) ctt-type-type: type(T) ctt-type-comp: comp(T) allow: Error :allow

Latex:
pi-meaning\{i:l\}(A;  B)  ==
    let  Xa,a,ma  =  A  in 
    let  Xb,b,mb  =  B  in 
    provision(allowed(ma)  \mwedge{}  allowed(mb);  cttType(levl=  levelsup(level(allow(ma));level(allow(mb)))
                                                                                              type=  \mPi{}type(allow(ma))  type(allow(mb))
                                                                                              comp=  pi\_comp(context-set(Xa);type(allow(ma));
                                                                                                                          comp(allow(ma));comp(allow(mb)))))



Date html generated: 2020_05_21-AM-10_40_53
Last ObjectModification: 2020_05_07-PM-00_24_14

Theory : cubical!type!theory


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