Nuprl Lemma : csm-id-adjoin-ap
∀X,u,I,a:Top. (([u])a ~ (a;u I a))
Proof
Definitions occuring in Statement :
csm-id-adjoin: [u],
cc-adjoin-cube: (v;u),
csm-ap: (s)x,
top: Top,
all: ∀x:A. B[x],
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap: (s)x,
pscm-ap: (s)x,
csm-id-adjoin: [u],
pscm-id-adjoin: [u],
csm-adjoin: (s;u),
pscm-adjoin: (s;u),
csm-id: 1(X),
pscm-id: 1(X),
cc-adjoin-cube: (v;u),
psc-adjoin-set: (v;u)
Lemmas referenced :
pscm-id-adjoin-ap
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}X,u,I,a:Top. (([u])a \msim{} (a;u I a))
Date html generated:
2020_05_20-PM-01_56_50
Last ObjectModification:
2020_01_04-PM-00_21_39
Theory : cubical!type!theory
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