Nuprl Definition : presheaf-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)>>
Definitions occuring in Statement :
psc-adjoin-set: (v;u)
,
presheaf-type-ap-morph: (u a f)
,
presheaf-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]
,
presheaf-type-at: A(a)
,
lambda: λx.A[x]
,
pair: <a, b>
,
presheaf-type-ap-morph: (u a f)
,
psc-adjoin-set: (v;u)
,
pi1: fst(t)
,
pi2: snd(t)
FDL editor aliases :
presheaf-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:
2018_05_23-AM-08_19_13
Last ObjectModification:
2018_02_21-PM-03_18_21
Theory : presheaf!models!of!type!theory
Home
Index