Nuprl Lemma : base-respects-equality
∀[T:Type]. respects-equality(Base;T)
Proof
Definitions occuring in Statement : 
respects-equality: respects-equality(S;T)
, 
uall: ∀[x:A]. B[x]
, 
base: Base
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
respects-equality: respects-equality(S;T)
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
prop: ℙ
Lemmas referenced : 
trivial-equal, 
equal-wf-base, 
istype-base
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
Error :isect_memberFormation_alt, 
introduction, 
cut, 
Error :lambdaFormation_alt, 
hypothesis, 
thin, 
extract_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
hypothesisEquality, 
equalitySymmetry, 
hyp_replacement, 
applyLambdaEquality, 
sqequalRule, 
because_Cache, 
Error :equalityIsType4, 
Error :universeIsType, 
Error :inhabitedIsType, 
Error :lambdaEquality_alt, 
dependent_functionElimination, 
axiomEquality, 
Error :functionIsTypeImplies, 
universeEquality
Latex:
\mforall{}[T:Type].  respects-equality(Base;T)
Date html generated:
2019_06_20-AM-11_13_40
Last ObjectModification:
2018_11_21-AM-10_44_05
Theory : core_2
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