Nuprl Lemma : Exception_wf
∀[n:Atom2]. ∀[T:Type]. (Exception(n;T) ∈ Type)
Proof
Definitions occuring in Statement :
Exception: Exception(n;T),
atom: Atom$n,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
Exception: Exception(n;T),
and: P ∧ Q,
prop: ℙ,
subtype_rel: A ⊆r B
Lemmas referenced :
atom2_subtype_base,
equal-wf-base,
exception-with-name_wf,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
hypothesis,
productEquality,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
baseApply,
closedConclusion,
baseClosed,
applyEquality,
because_Cache,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
isect_memberEquality,
atomnEquality
Latex:
\mforall{}[n:Atom2]. \mforall{}[T:Type]. (Exception(n;T) \mmember{} Type)
Date html generated:
2016_05_13-PM-03_21_50
Last ObjectModification:
2016_01_14-PM-06_47_13
Theory : call!by!value_1
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