Nuprl Definition : equiv-path1
equiv-path1(G;A;B;f) ==
Glue [((q=0) ∨ (q=1)) ⟶ ((if (q=0) then (A)p else (B)p);equiv-fun(cubical-equiv-by-cases(G;B;f)))] (B)p
Definitions occuring in Statement :
cubical-equiv-by-cases: cubical-equiv-by-cases(G;B;f),
glue-type: Glue [phi ⟶ (T;w)] A,
equiv-fun: equiv-fun(f),
case-type: (if phi then A else B),
face-zero: (i=0),
face-one: (i=1),
face-or: (a ∨ b),
interval-type: 𝕀,
cc-snd: q,
cc-fst: p,
cube-context-adjoin: X.A,
csm-ap-type: (AF)s
Definitions occuring in definition :
cubical-equiv-by-cases: cubical-equiv-by-cases(G;B;f),
equiv-fun: equiv-fun(f),
cc-fst: p,
csm-ap-type: (AF)s,
cc-snd: q,
face-zero: (i=0),
case-type: (if phi then A else B),
face-one: (i=1),
face-or: (a ∨ b),
interval-type: 𝕀,
cube-context-adjoin: X.A,
glue-type: Glue [phi ⟶ (T;w)] A
FDL editor aliases :
equiv-path1
Latex:
equiv-path1(G;A;B;f) ==
Glue [((q=0) \mvee{} (q=1)) \mvdash{}\mrightarrow{} ((if (q=0) then (A)p else (B)p);
equiv-fun(cubical-equiv-by-cases(G;B;f)))] (B)p
Date html generated:
2017_01_10-PM-00_18_05
Last ObjectModification:
2016_12_27-PM-01_14_03
Theory : cubical!type!theory
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