Nuprl Lemma : csm-interval-type
∀[s:Top]. ((𝕀)s ~ 𝕀)
Proof
Definitions occuring in Statement :
interval-type: 𝕀,
csm-ap-type: (AF)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
interval-type: 𝕀,
top: Top
Lemmas referenced :
top_wf,
csm-constant-cubical-type
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesisEquality,
hypothesis,
sqequalAxiom
Latex:
\mforall{}[s:Top]. ((\mBbbI{})s \msim{} \mBbbI{})
Date html generated:
2016_05_18-PM-02_00_02
Last ObjectModification:
2016_03_04-PM-03_01_18
Theory : cubical!type!theory
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