Nuprl Definition : cubical-sigma
Σ A B == <λI,a. (u:A(a) × B((a;u))), λI,J,f,a,p. <(fst(p) a f), (snd(p) (a;fst(p)) f)>>
Wellformedness Lemmas :
cubical-sigma_wf
Definitions occuring in Statement :
cc-adjoin-cube: (v;u),
cubical-type-ap-morph: (u a f),
cubical-type-at: A(a),
pi1: fst(t),
pi2: snd(t),
lambda: λx.A[x],
pair: <a, b>,
product: x:A × B[x]
Definitions occuring in definition :
product: x:A × B[x],
cubical-type-at: A(a),
lambda: λx.A[x],
pair: <a, b>,
cubical-type-ap-morph: (u a f),
cc-adjoin-cube: (v;u),
pi1: fst(t),
pi2: snd(t)
FDL editor aliases :
cubical-sigma
cubical-sigma
Latex:
\mSigma{} A B == <\mlambda{}I,a. (u:A(a) \mtimes{} B((a;u))), \mlambda{}I,J,f,a,p. <(fst(p) a f), (snd(p) (a;fst(p)) f)>>
Date html generated:
2016_06_16-PM-05_44_35
Last ObjectModification:
2015_09_23-AM-09_30_47
Theory : cubical!sets
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