Nuprl Lemma : is-exception_wf
∀[t:Base]. (is-exception(t) ∈ ℙ)
Proof
Definitions occuring in Statement :
is-exception: is-exception(t),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
is-exception: is-exception(t)
Lemmas referenced :
sqle_wf_base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
baseClosed,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[t:Base]. (is-exception(t) \mmember{} \mBbbP{})
Date html generated:
2017_04_14-AM-07_14_43
Last ObjectModification:
2017_02_24-PM-05_51_30
Theory : call!by!value_1
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