Nuprl Definition : face-compatible

face-compatible(X;I;f1;f2) ==
  let y,b,w = f1 in 
  let z,c,u = f2 in 
  (¬(y = z ∈ Cname)) ⇒ ((z:=c)(w) = (y:=b)(u) ∈ X(I-[y; z]))



Definitions occuring in Statement :  cube-set-restriction: f(s),  I-cube: X(I),  face-map: (x:=i),  cname_deq: CnameDeq,  coordinate_name: Cname,  list-diff: as-bs,  cons: [a / b],  nil: [],  spreadn: spread3,  not: ¬A,  implies: P ⇒ Q,  equal: s = t ∈ T
Definitions occuring in definition :  spreadn: spread3,  implies: P ⇒ Q,  not: ¬A,  coordinate_name: Cname,  equal: s = t ∈ T,  I-cube: X(I),  cube-set-restriction: f(s),  list-diff: as-bs,  cname_deq: CnameDeq,  cons: [a / b],  nil: [],  face-map: (x:=i)
FDL editor aliases :  face-compatible

Latex:
face-compatible(X;I;f1;f2)  ==
    let  y,b,w  =  f1  in 
    let  z,c,u  =  f2  in 
    (\mneg{}(y  =  z))  {}\mRightarrow{}  ((z:=c)(w)  =  (y:=b)(u))



Date html generated: 2016_06_16-PM-05_49_41
Last ObjectModification: 2015_09_23-AM-09_31_17

Theory : cubical!sets


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