Nuprl Lemma : FOAssignment_wf
∀[vs:ℤ List]. ∀[Dom:Type]. (FOAssignment(vs,Dom) ∈ Type)
Proof
Definitions occuring in Statement :
FOAssignment: FOAssignment(vs,Dom),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
FOAssignment: FOAssignment(vs,Dom),
prop: ℙ
Lemmas referenced :
l_member_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
setEquality,
intEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[vs:\mBbbZ{} List]. \mforall{}[Dom:Type]. (FOAssignment(vs,Dom) \mmember{} Type)
Date html generated:
2016_05_15-PM-10_11_54
Last ObjectModification:
2015_12_27-PM-06_33_56
Theory : minimal-first-order-logic
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