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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