Nuprl Lemma : csm-id-sq
∀[X:j⊢]. (1(X) ~ identity-trans(op-cat(CubeCat);type-cat{j':l};X))
Proof
Definitions occuring in Statement :
csm-id: 1(X),
cubical_set: CubicalSet,
cube-cat: CubeCat,
uall: ∀[x:A]. B[x],
sqequal: s ~ t,
type-cat: TypeCat,
op-cat: op-cat(C),
identity-trans: identity-trans(C;D;F)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cubical_set: CubicalSet,
csm-id: 1(X),
pscm-id: 1(X)
Lemmas referenced :
pscm-id-sq,
cube-cat_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
hypothesis,
sqequalRule
Latex:
\mforall{}[X:j\mvdash{}]. (1(X) \msim{} identity-trans(op-cat(CubeCat);type-cat\{j':l\};X))
Date html generated:
2020_05_20-PM-01_41_50
Last ObjectModification:
2020_04_03-PM-03_59_11
Theory : cubical!type!theory
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