Nuprl Lemma : less_than_wf
∀[a,b:ℤ]. (a < b ∈ ℙ)
Proof
Definitions occuring in Statement :
less_than: a < b,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
less_than: a < b,
prop: ℙ
Lemmas referenced :
member_wf,
less_than'_wf,
and_wf,
squash_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
intEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[a,b:\mBbbZ{}]. (a < b \mmember{} \mBbbP{})
Date html generated:
2016_05_13-PM-03_17_52
Last ObjectModification:
2016_01_06-PM-05_20_13
Theory : core_2
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