Nuprl Lemma : pathtype-subset
∀[X,A,phi:Top]. (Path(A) ~ Path(A))
Proof
Definitions occuring in Statement :
pathtype: Path(A),
context-subset: Gamma, phi,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
pathtype: Path(A),
member: t ∈ T,
top: Top
Lemmas referenced :
cubical-fun-subset,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
because_Cache
Latex:
\mforall{}[X,A,phi:Top]. (Path(A) \msim{} Path(A))
Date html generated:
2018_05_23-AM-09_33_50
Last ObjectModification:
2018_05_20-PM-06_35_45
Theory : cubical!type!theory
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