Nuprl Lemma : interval-0-at
∀[I,a:Top]. (0(𝕀)(a) ~ 0)
Proof
Definitions occuring in Statement :
interval-0: 0(𝕀),
cubical-term-at: u(a),
dM0: 0,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
interval-0: 0(𝕀),
cubical-term-at: u(a)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
lemma_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,a:Top]. (0(\mBbbI{})(a) \msim{} 0)
Date html generated:
2016_05_18-PM-02_00_21
Last ObjectModification:
2016_03_03-PM-02_40_30
Theory : cubical!type!theory
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