Nuprl Lemma : exception-with-name_wf
∀[n:Atom2]. ∀[t:Base]. (exception-with-name(n;t) ∈ ℙ)
Proof
Definitions occuring in Statement :
exception-with-name: exception-with-name(n;t),
atom: Atom$n,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
exception-with-name: exception-with-name(n;t),
subtype_rel: A ⊆r B
Lemmas referenced :
sqle_wf_base,
atom2_subtype_base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
applyEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
atomnEquality
Latex:
\mforall{}[n:Atom2]. \mforall{}[t:Base]. (exception-with-name(n;t) \mmember{} \mBbbP{})
Date html generated:
2017_04_14-AM-07_14_43
Last ObjectModification:
2017_02_24-PM-05_51_53
Theory : call!by!value_1
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