Nuprl Definition : cu_filler_2

cu_filler_2(J;K;L;f;g;x;i;box;X) ==
  case l-first(y.¬bisname(f y);J)
   of inl(y) =>
   cu-cube-restriction(cube(get_face(y;f y;box));K;L;g;((x:=i) o f);X)
   | inr(_) =>
   case l-first(y.¬bisname((f o g) y);J) of inl(y) => 44 | inr(_) => 55



Definitions occuring in Statement :  cu-cube-restriction: cu-cube-restriction(alpha;L;J;f;a;T),  get_face: get_face(y;c;box),  face-cube: cube(f),  name-comp: (f o g),  face-map: (x:=i),  isname: isname(z),  l-first: l-first(x.f[x];L),  bnot: ¬bb,  apply: f a,  decide: case b of inl(x) => s[x] | inr(y) => t[y],  natural_number: $n
Definitions occuring in definition :  cu-cube-restriction: cu-cube-restriction(alpha;L;J;f;a;T),  face-cube: cube(f),  get_face: get_face(y;c;box),  face-map: (x:=i),  decide: case b of inl(x) => s[x] | inr(y) => t[y],  l-first: l-first(x.f[x];L),  bnot: ¬bb,  isname: isname(z),  apply: f a,  name-comp: (f o g),  natural_number: $n
FDL editor aliases :  cu_filler_2 cu_filler_2

Latex:
cu\_filler\_2(J;K;L;f;g;x;i;box;X)  ==
    case  l-first(y.\mneg{}\msubb{}isname(f  y);J)
      of  inl(y)  =>
      cu-cube-restriction(cube(get\_face(y;f  y;box));K;L;g;((x:=i)  o  f);X)
      |  inr($_{}$)  =>
      case  l-first(y.\mneg{}\msubb{}isname((f  o  g)  y);J)  of  inl(y)  =>  44  |  inr($_{}$)  =>  55



Date html generated: 2016_06_16-PM-08_09_42
Last ObjectModification: 2015_09_23-AM-09_35_21

Theory : cubical!sets


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