Nuprl Lemma : interval-presheaf-restriction
∀[I,K,f,r:Top]. (f(r) ~ dM-lift(K;I;f) r)
Proof
Definitions occuring in Statement :
interval-presheaf: 𝕀,
cube-set-restriction: f(s),
dM-lift: dM-lift(I;J;f),
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
interval-presheaf: 𝕀,
cube-set-restriction: f(s),
pi2: snd(t),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,K,f,r:Top]. (f(r) \msim{} dM-lift(K;I;f) r)
Date html generated:
2016_05_18-PM-00_06_43
Last ObjectModification:
2016_02_08-PM-05_35_46
Theory : cubical!type!theory
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