Nuprl Lemma : constant-cubical-type-at
∀[X,I,a:Top]. ((X)(a) ~ X(I))
Proof
Definitions occuring in Statement :
constant-cubical-type: (X),
cubical-type-at: A(a),
I_cube: A(I),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
cubical-type-at: A(a),
presheaf-type-at: A(a),
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)
Lemmas referenced :
constant-presheaf-type-at
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[X,I,a:Top]. ((X)(a) \msim{} X(I))
Date html generated:
2018_05_23-AM-09_15_32
Last ObjectModification:
2018_05_20-PM-06_14_29
Theory : cubical!type!theory
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