Nuprl Definition : path-eq
path-eq(X;A;I;alpha;p;q) ==
  let z,w = p 
  in let z',w' = q 
     in (w iota(z)(alpha) rename-one-name(z;z')) = w' ∈ A(iota(z')(alpha))
Definitions occuring in Statement : 
cubical-type-ap-morph: (u a f)
, 
cubical-type-at: A(a)
, 
cube-set-restriction: f(s)
, 
rename-one-name: rename-one-name(z1;z2)
, 
iota: iota(x)
, 
cons: [a / b]
, 
spread: spread def, 
equal: s = t ∈ T
Definitions occuring in definition : 
spread: spread def, 
equal: s = t ∈ T
, 
cubical-type-at: A(a)
, 
cubical-type-ap-morph: (u a f)
, 
rename-one-name: rename-one-name(z1;z2)
, 
cube-set-restriction: f(s)
, 
cons: [a / b]
, 
iota: iota(x)
FDL editor aliases : 
path-eq
path-eq
Latex:
path-eq(X;A;I;alpha;p;q)  ==
    let  z,w  =  p 
    in  let  z',w'  =  q 
          in  (w  iota(z)(alpha)  rename-one-name(z;z'))  =  w'
Date html generated:
2016_06_16-PM-07_29_09
Last ObjectModification:
2015_09_23-AM-09_34_17
Theory : cubical!sets
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