Nuprl Lemma : istype-sqle
∀[a,b:Base].  istype(a ≤ b)
Proof
Definitions occuring in Statement : 
istype: istype(T)
, 
uall: ∀[x:A]. B[x]
, 
base: Base
, 
sqle: s ≤ t
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
prop: ℙ
Lemmas referenced : 
sqle_wf_base, 
base_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
Error :isect_memberFormation_alt, 
Error :universeIsType, 
cut, 
introduction, 
extract_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesisEquality, 
hypothesis, 
Error :inhabitedIsType
Latex:
\mforall{}[a,b:Base].    istype(a  \mleq{}  b)
Date html generated:
2019_06_20-AM-11_20_33
Last ObjectModification:
2018_09_29-PM-11_07_20
Theory : call!by!value_1
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