Nuprl Lemma : discrete_struct_wf
∀[A:Type]. (DS(A) ∈ 𝕌')
Proof
Definitions occuring in Statement :
discrete_struct: DS(A),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
discrete_struct: DS(A),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
deq_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
productEquality,
functionEquality,
cumulativity,
hypothesisEquality,
universeEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
applyEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[A:Type]. (DS(A) \mmember{} \mBbbU{}')
Date html generated:
2016_05_14-PM-03_24_11
Last ObjectModification:
2015_12_26-PM-06_21_34
Theory : decidable!equality
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