Nuprl Lemma : csm-universe-comp-op
∀[E,s:Top]. ((compOp(E))s ~ compOp((E)s))
Proof
Definitions occuring in Statement :
universe-comp-op: compOp(t),
csm-composition: (comp)sigma,
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe-comp-op: compOp(t),
csm-composition: (comp)sigma
Lemmas referenced :
csm-ap-term-at,
istype-top
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
Error :memTop,
hypothesisEquality,
hypothesis,
axiomSqEquality,
inhabitedIsType,
isect_memberEquality_alt,
isectIsTypeImplies
Latex:
\mforall{}[E,s:Top]. ((compOp(E))s \msim{} compOp((E)s))
Date html generated:
2020_05_20-PM-07_16_01
Last ObjectModification:
2020_04_25-PM-09_40_28
Theory : cubical!type!theory
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