Nuprl Lemma : istype-sqequal
∀[x,y:Base]. istype(x ~ y)
Proof
Definitions occuring in Statement :
istype: istype(T),
uall: ∀[x:A]. B[x],
base: Base,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
istype-base
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
Error :universeIsType,
sqequalIntensionalEquality,
hypothesisEquality,
Error :inhabitedIsType,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}[x,y:Base]. istype(x \msim{} y)
Date html generated:
2019_06_20-AM-11_19_39
Last ObjectModification:
2018_10_16-PM-05_54_17
Theory : sqequal_1
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