Nuprl Lemma : csm_id_adjoin_fst_term_lemma
∀a,t,X:Top. (((a)p)[t] ~ (a)1(X))
Proof
Definitions occuring in Statement :
csm-id-adjoin: [u],
cc-fst: p,
csm-ap-term: (t)s,
csm-id: 1(X),
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap-term: (t)s,
pscm-ap-term: (t)s,
csm-ap: (s)x,
pscm-ap: (s)x,
cc-fst: p,
psc-fst: p,
csm-id-adjoin: [u],
pscm-id-adjoin: [u],
csm-adjoin: (s;u),
pscm-adjoin: (s;u),
csm-id: 1(X),
pscm-id: 1(X)
Lemmas referenced :
ps-csm_id_adjoin_fst_term_lemma
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}a,t,X:Top. (((a)p)[t] \msim{} (a)1(X))
Date html generated:
2018_05_23-AM-08_51_22
Last ObjectModification:
2018_05_20-PM-06_00_35
Theory : cubical!type!theory
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