Nuprl Lemma : csm_comp_fst_adjoin_cube_lemma
∀y,x,K,s,X,B,A:Top. ((s o p)(x;y) ~ (s)x)
Proof
Definitions occuring in Statement :
cc-fst: p,
cc-adjoin-cube: (v;u),
csm-comp: G o F,
csm-ap: (s)x,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap: (s)x,
pscm-ap: (s)x,
csm-comp: G o F,
pscm-comp: G o F,
cc-fst: p,
psc-fst: p,
cc-adjoin-cube: (v;u),
psc-adjoin-set: (v;u)
Lemmas referenced :
csm_comp_fst_adjoin_set_lemma
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}y,x,K,s,X,B,A:Top. ((s o p)(x;y) \msim{} (s)x)
Date html generated:
2018_05_23-AM-08_48_27
Last ObjectModification:
2018_05_20-PM-05_58_09
Theory : cubical!type!theory
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