Nuprl Lemma : cubical-sigma-normalize
∀[X,A,B:Top]. (Σ A B ~ Σ A B)
Proof
Definitions occuring in Statement :
cubical-sigma: Σ A B,
it: ⋅,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
cubical-sigma: Σ A B,
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{}[X,A,B:Top]. (\mSigma{} A B \msim{} \mSigma{} A B)
Date html generated:
2018_05_23-AM-09_29_05
Last ObjectModification:
2018_05_20-PM-06_27_18
Theory : cubical!type!theory
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