Nuprl Lemma : FOL-sequent-evidence_wf
∀[s:mFOL-sequent()]. (FOL-sequent-evidence{i:l}(s) ∈ 𝕌')
Proof
Definitions occuring in Statement : 
FOL-sequent-evidence: FOL-sequent-evidence{i:l}(s)
, 
mFOL-sequent: mFOL-sequent()
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
FOL-sequent-evidence: FOL-sequent-evidence{i:l}(s)
Lemmas referenced : 
FO-uniform-evidence_wf, 
mFOL-sequent-freevars_wf, 
FOL-sequent-abstract_wf, 
mFOL-sequent_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
sqequalRule, 
lemma_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesisEquality, 
hypothesis, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry
Latex:
\mforall{}[s:mFOL-sequent()].  (FOL-sequent-evidence\{i:l\}(s)  \mmember{}  \mBbbU{}')
Date html generated:
2016_05_15-PM-10_27_17
Last ObjectModification:
2015_12_27-PM-06_26_01
Theory : minimal-first-order-logic
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