Nuprl Lemma : is-atomic_wf
∀[x:Value()]. (is-atomic(x) ∈ 𝔹)
Proof
Definitions occuring in Statement :
is-atomic: is-atomic(x),
Value: Value(),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
is-atomic: is-atomic(x),
Value: Value(),
uimplies: b supposing a
Lemmas referenced :
Value_wf,
ispair-member,
bool_wf,
bfalse_wf,
isinl-member,
isinr-member,
btrue_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
setElimination,
thin,
rename,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
lemma_by_obid,
isectElimination,
hypothesisEquality,
because_Cache,
independent_isectElimination
Latex:
\mforall{}[x:Value()]. (is-atomic(x) \mmember{} \mBbbB{})
Date html generated:
2016_05_13-PM-03_23_01
Last ObjectModification:
2015_12_26-AM-09_30_55
Theory : call!by!value_1
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