Nuprl Lemma : priority-select_wf
∀[T:Type]. ∀[as:T List]. ∀[f,g:T ⟶ 𝔹]. (priority-select(f;g;as) ∈ 𝔹?)
Proof
Definitions occuring in Statement :
priority-select: priority-select(f;g;as),
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
function: x:A ⟶ B[x],
union: left + right,
universe: Type
Definitions unfolded in proof :
priority-select: priority-select(f;g;as),
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
list_accum_wf,
bool_wf,
unit_wf2,
it_wf,
ifthenelse_wf,
isl_wf,
btrue_wf,
bfalse_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
unionEquality,
hypothesis,
inrEquality,
lambdaEquality,
applyEquality,
inlEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
functionEquality,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[as:T List]. \mforall{}[f,g:T {}\mrightarrow{} \mBbbB{}]. (priority-select(f;g;as) \mmember{} \mBbbB{}?)
Date html generated:
2016_05_15-PM-03_53_04
Last ObjectModification:
2015_12_27-PM-01_24_03
Theory : general
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