Nuprl Lemma : istype-lt
∀[i,j:ℤ]. istype(i < j)
Proof
Definitions occuring in Statement :
less_than: a < b,
istype: istype(T),
uall: ∀[x:A]. B[x],
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
less_than_wf,
istype-int
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{}[i,j:\mBbbZ{}]. istype(i < j)
Date html generated:
2019_06_20-AM-11_22_24
Last ObjectModification:
2018_10_02-PM-05_06_37
Theory : arithmetic
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