Nuprl Lemma : exception-value_wf
∀[n:Atom2]. ∀[t:Base]. (exception-value(n;t) ∈ Base)
Proof
Definitions occuring in Statement :
exception-value: exception-value(n;t),
atom: Atom$n,
uall: ∀[x:A]. B[x],
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
exception-value: exception-value(n;t),
subtype_rel: A ⊆r B
Lemmas referenced :
base_wf,
atom2_subtype_base
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
applyEquality,
thin,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
isectElimination,
because_Cache,
atomnEquality
Latex:
\mforall{}[n:Atom2]. \mforall{}[t:Base]. (exception-value(n;t) \mmember{} Base)
Date html generated:
2016_05_13-PM-03_21_49
Last ObjectModification:
2016_01_14-PM-06_47_18
Theory : call!by!value_1
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