Nuprl Lemma : ps-csm_id_ap_term_lemma
∀t,X,s:Top. (((t)1(X))s ~ (t)s)
Proof
Definitions occuring in Statement :
pscm-ap-term: (t)s,
pscm-id: 1(X),
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
pscm-ap-term: (t)s,
pscm-id: 1(X),
pscm-ap: (s)x,
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
hypothesis,
introduction,
extract_by_obid
Latex:
\mforall{}t,X,s:Top. (((t)1(X))s \msim{} (t)s)
Date html generated:
2018_05_23-AM-08_13_34
Last ObjectModification:
2018_05_20-PM-09_52_43
Theory : presheaf!models!of!type!theory
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