Nuprl Definition : path-meaning

path-meaning{i:l}(A; B; C) ==
  let Xa,a,ma = A in 
  let Xb,b,mb = B in 
  let Xc,c,mc = C in 
  provision(allowed(ma) ∧ allowed(mb) ∧ allowed(mc) ∧ type(allow(mb))=type(allow(ma)) ∧ type(allow(mc))=type(allow(ma));
            cttType(levl= level(allow(ma))
                    type= (Path_type(allow(ma)) term(allow(mb)) term(allow(mc)))
                    comp= path_comp(context-set(Xa);type(allow(ma));term(allow(mb));term(allow(mc));
                                    comp(allow(ma)))))



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),  ctt-term-term: term(t),  ctt-term-type-is: type(t)=T,  path_comp: path_comp,  path-type: (Path_A a b),  spreadn: spread3,  and: P ∧ Q,  allow: allow(x),  allowed: allowed(x),  provision: provision(ok; v)
Definitions occuring in definition :  spreadn: spread3,  provision: Error :provision,  allowed: Error :allowed,  and: P ∧ Q,  ctt-term-type-is: type(t)=T,  mk_ctt-type-mng: mk_ctt-type-mng,  ctt-type-level: level(T),  path-type: (Path_A a b),  path_comp: path_comp,  context-set: context-set(ctxt),  ctt-type-type: type(T),  ctt-term-term: term(t),  ctt-type-comp: comp(T),  allow: Error :allow

Latex:
path-meaning\{i:l\}(A;  B;  C)  ==
    let  Xa,a,ma  =  A  in 
    let  Xb,b,mb  =  B  in 
    let  Xc,c,mc  =  C  in 
    provision(allowed(ma)
                        \mwedge{}  allowed(mb)
                        \mwedge{}  allowed(mc)
                        \mwedge{}  type(allow(mb))=type(allow(ma))
                        \mwedge{}  type(allow(mc))=type(allow(ma));
                        cttType(levl=  level(allow(ma))
                                        type=  (Path\_type(allow(ma))  term(allow(mb))  term(allow(mc)))
                                        comp=  path\_comp(context-set(Xa);type(allow(ma));term(allow(mb));term(allow(mc));
                                                                        comp(allow(ma)))))



Date html generated: 2020_05_21-AM-10_41_26
Last ObjectModification: 2020_05_07-PM-02_23_55

Theory : cubical!type!theory


Home Index