Nuprl Lemma : sq_stable__has-valueall
∀[a:Base]. SqStable(has-valueall(a))
Proof
Definitions occuring in Statement :
has-valueall: has-valueall(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-valueall: has-valueall(a),
has-value: (a)↓,
prop: ℙ
Lemmas referenced :
squash_wf,
has-valueall_wf_base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lambdaFormation,
sqequalHypSubstitution,
imageElimination,
axiomSqleEquality,
hypothesis,
lemma_by_obid,
isectElimination,
thin,
hypothesisEquality,
sqequalRule,
lambdaEquality,
dependent_functionElimination
Latex:
\mforall{}[a:Base]. SqStable(has-valueall(a))
Date html generated:
2016_05_13-PM-03_25_25
Last ObjectModification:
2015_12_26-AM-09_29_09
Theory : call!by!value_1
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