Nuprl Lemma : context-subset-restriction
∀[Gamma,phi,I,J,a,f:Top]. (f(a) ~ f(a))
Proof
Definitions occuring in Statement :
context-subset: Gamma, phi,
cube-set-restriction: f(s),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
cube-set-restriction: f(s),
pi2: snd(t),
context-subset: Gamma, phi,
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
sqequalRule,
because_Cache,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}[Gamma,phi,I,J,a,f:Top]. (f(a) \msim{} f(a))
Date html generated:
2018_05_23-AM-09_21_12
Last ObjectModification:
2018_05_20-PM-06_19_13
Theory : cubical!type!theory
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