Nuprl Lemma : face-type-ap-morph-ps
∀[I,J,f,rho,u:Top]. ((u rho f) ~ (u)<f>)
Proof
Definitions occuring in Statement :
face-type: 𝔽,
fl-morph: <f>,
presheaf-type-ap-morph: (u a f),
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
face-type: 𝔽,
presheaf-type-ap-morph: (u a f),
constant-cubical-type: (X),
pi2: snd(t),
face-presheaf: 𝔽,
cube-set-restriction: f(s)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
extract_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,J,f,rho,u:Top]. ((u rho f) \msim{} (u)<f>)
Date html generated:
2018_05_23-AM-09_19_38
Last ObjectModification:
2018_05_20-PM-06_18_00
Theory : cubical!type!theory
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