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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