Nuprl Lemma : term-equality_wf
∀[Term:Type]. (term-equality{i:l}(Term) ∈ 𝕌')
Proof
Definitions occuring in Statement :
term-equality: term-equality{i:l}(Term),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
term-equality: term-equality{i:l}(Term)
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
cumulativity,
hypothesisEquality,
universeEquality,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[Term:Type]. (term-equality\{i:l\}(Term) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-01_49_05
Last ObjectModification:
2015_12_27-AM-00_11_55
Theory : parameterized!rec
Home
Index