Nuprl Lemma : sq_stable__has-value
∀[a:Base]. SqStable((a)↓)
Proof
Definitions occuring in Statement :
has-value: (a)↓
,
sq_stable: SqStable(P)
,
uall: ∀[x:A]. B[x]
,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x]
,
member: t ∈ T
,
sq_stable: SqStable(P)
,
implies: P
⇒ Q
,
squash: ↓T
,
has-value: (a)↓
,
prop: ℙ
Lemmas referenced :
squash_wf,
has-value_wf_base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lambdaFormation,
sqequalHypSubstitution,
imageElimination,
hypothesis,
axiomSqleEquality,
lemma_by_obid,
isectElimination,
thin,
hypothesisEquality,
sqequalRule,
lambdaEquality,
dependent_functionElimination
Latex:
\mforall{}[a:Base]. SqStable((a)\mdownarrow{})
Date html generated:
2016_05_13-PM-03_25_15
Last ObjectModification:
2015_12_26-AM-09_29_26
Theory : call!by!value_1
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