Nuprl Lemma : context-set_wf
∀[ctxt:?CubicalContext]. context-set(ctxt) ⊢''' supposing context-ok(ctxt)
Proof
Definitions occuring in Statement :
context-set: context-set(ctxt),
context-ok: context-ok(ctxt),
cubical-context: ?CubicalContext,
cubical_set: CubicalSet,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
context-set: context-set(ctxt),
context-ok: context-ok(ctxt),
cubical-context: ?CubicalContext,
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
cubical_context: CubicalContext,
pi1: fst(t),
prop: ℙ
Lemmas referenced :
cubical_context_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation_alt,
introduction,
cut,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesis,
hypothesisEquality,
independent_isectElimination,
inhabitedIsType,
lambdaFormation_alt,
productElimination,
equalityIstype,
equalityTransitivity,
equalitySymmetry,
dependent_functionElimination,
independent_functionElimination,
axiomEquality,
universeIsType,
isect_memberEquality_alt,
isectIsTypeImplies
Latex:
\mforall{}[ctxt:?CubicalContext]. context-set(ctxt) \mvdash{}''' supposing context-ok(ctxt)
Date html generated:
2020_05_20-PM-08_06_39
Last ObjectModification:
2020_03_18-AM-10_39_50
Theory : cubical!type!theory
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