Nuprl Lemma : csm-constant-cubical-type
∀[X,s:Top]. (((X))s ~ (X))
Proof
Definitions occuring in Statement :
constant-cubical-type: (X),
csm-ap-type: (AF)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap-type: (AF)s,
pscm-ap-type: (AF)s,
constant-cubical-type: (X),
constant-presheaf-type: (X),
I_cube: A(I),
I_set: A(I),
cube-set-restriction: f(s),
psc-restriction: f(s),
csm-ap: (s)x,
pscm-ap: (s)x
Lemmas referenced :
pscm-constant-presheaf-type
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[X,s:Top]. (((X))s \msim{} (X))
Date html generated:
2018_05_23-AM-09_15_24
Last ObjectModification:
2018_05_20-PM-06_14_22
Theory : cubical!type!theory
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