Nuprl Lemma : csm-adjoin-comp
∀[Gamma,Delta,X,A,sigma,u,g:Top]. ((sigma;u) o g ~ (sigma o g;(u)g))
Proof
Definitions occuring in Statement :
csm-adjoin: (s;u),
cube-context-adjoin: X.A,
csm-ap-term: (t)s,
csm-comp: G o F,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-comp: G o F,
pscm-comp: G o F,
csm-adjoin: (s;u),
pscm-adjoin: (s;u),
csm-ap: (s)x,
pscm-ap: (s)x,
csm-ap-term: (t)s,
pscm-ap-term: (t)s
Lemmas referenced :
pscm-adjoin-comp
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[Gamma,Delta,X,A,sigma,u,g:Top]. ((sigma;u) o g \msim{} (sigma o g;(u)g))
Date html generated:
2018_05_23-AM-08_50_09
Last ObjectModification:
2018_05_20-PM-05_59_30
Theory : cubical!type!theory
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