Nuprl Lemma : ps-csm_id_adjoin_fst_term_lemma
∀a,t,X:Top. (((a)p)[t] ~ (a)1(X))
Proof
Definitions occuring in Statement :
pscm-id-adjoin: [u],
psc-fst: p,
pscm-ap-term: (t)s,
pscm-id: 1(X),
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
pscm-id: 1(X),
pscm-ap-term: (t)s,
psc-fst: p,
pscm-id-adjoin: [u],
pscm-ap: (s)x,
pscm-adjoin: (s;u),
pi1: fst(t),
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}a,t,X:Top. (((a)p)[t] \msim{} (a)1(X))
Date html generated:
2018_05_23-AM-08_13_31
Last ObjectModification:
2018_05_20-PM-09_52_40
Theory : presheaf!models!of!type!theory
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