Nuprl Definition : pi-comp-app
pi-comp-app(Gamma;A;I;i;rho;phi;mu;J;f;j;nu) ==
  app((mu)subset-trans(I+i;J+j;f,i=j;s(phi)); (canonical-section(Gamma;A;J+j;f,i=j(rho);nu))iota)
Definitions occuring in Statement : 
cubical-app: app(w; u)
, 
csm-ap-term: (t)s
, 
canonical-section: canonical-section(Gamma;A;I;rho;a)
, 
subset-trans: subset-trans(I;J;f;x)
, 
subset-iota: iota
, 
face-presheaf: 𝔽
, 
cube-set-restriction: f(s)
, 
nc-e': g,i=j
, 
nc-s: s
, 
add-name: I+i
Definitions occuring in definition : 
cubical-app: app(w; u)
, 
subset-trans: subset-trans(I;J;f;x)
, 
face-presheaf: 𝔽
, 
nc-s: s
, 
csm-ap-term: (t)s
, 
subset-iota: iota
, 
canonical-section: canonical-section(Gamma;A;I;rho;a)
, 
cube-set-restriction: f(s)
, 
add-name: I+i
, 
nc-e': g,i=j
FDL editor aliases : 
pi-comp-app
Latex:
pi-comp-app(Gamma;A;I;i;rho;phi;mu;J;f;j;nu)  ==
    app((mu)subset-trans(I+i;J+j;f,i=j;s(phi));  (canonical-section(Gamma;A;J+j;f,i=j(rho);nu))iota)
Date html generated:
2016_05_19-AM-09_37_55
Last ObjectModification:
2016_01_25-PM-04_29_26
Theory : cubical!type!theory
Home
Index