Nuprl Lemma : update-provisional-context-I_wf
∀[ctxt:?CubicalContext]. ∀[v:varname()]. (ctxt,v:I ∈ ?CubicalContext)
Proof
Definitions occuring in Statement :
update-provisional-context-I: X,v:I,
cubical-context: ?CubicalContext,
varname: varname(),
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
cubical-context: ?CubicalContext,
uall: ∀[x:A]. B[x],
member: t ∈ T,
update-provisional-context-I: X,v:I,
uimplies: b supposing a,
prop: ℙ
Lemmas referenced :
cubical_context_wf,
update-cubical-context-I_wf,
varname_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesis,
hypothesisEquality,
isect_memberEquality_alt,
independent_isectElimination,
universeIsType,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[ctxt:?CubicalContext]. \mforall{}[v:varname()]. (ctxt,v:I \mmember{} ?CubicalContext)
Date html generated:
2020_05_20-PM-08_09_19
Last ObjectModification:
2020_03_02-PM-03_01_21
Theory : cubical!type!theory
Home
Index