Nuprl Lemma : beta_expansion
∀[F,v:Top]. (F[v] ~ (λx.F[x]) v)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
apply: f a,
lambda: λx.A[x],
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[F,v:Top]. (F[v] \msim{} (\mlambda{}x.F[x]) v)
Date html generated:
2016_05_15-PM-02_07_42
Last ObjectModification:
2015_12_27-AM-00_37_15
Theory : untyped!computation
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