Nuprl Lemma : sq_stable_sqle
∀[a,b:Base]. SqStable(a ≤ b)
Proof
Definitions occuring in Statement :
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x],
base: Base,
sqle: s ≤ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
sq_stable: SqStable(P),
implies: P ⇒ Q,
squash: ↓T,
prop: ℙ
Lemmas referenced :
squash_wf,
sqle_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,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[a,b:Base]. SqStable(a \mleq{} b)
Date html generated:
2016_05_13-PM-03_24_39
Last ObjectModification:
2015_12_26-AM-09_29_35
Theory : call!by!value_1
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