Nuprl Lemma : sq_stable__less_than
∀[a,b:ℤ]. SqStable(a < b)
Proof
Definitions occuring in Statement :
less_than: a < b,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
int: ℤ
Definitions unfolded in proof :
less_than: a < b,
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ,
sq_stable: SqStable(P),
implies: P ⇒ Q,
squash: ↓T,
and: P ∧ Q
Lemmas referenced :
squash_wf,
member_wf,
less_than'_wf,
and_wf,
sq_stable__squash
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
intEquality,
lambdaEquality,
dependent_functionElimination,
imageElimination,
imageMemberEquality,
baseClosed,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[a,b:\mBbbZ{}]. SqStable(a < b)
Date html generated:
2016_05_13-PM-03_20_10
Last ObjectModification:
2016_01_14-PM-04_35_01
Theory : basic_types
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