Nuprl Lemma : mFOL-proveable-formula-evidence


Main Lemma. See mFOL-proveable-evidence also.⋅

∀[fmla:mFOL()]. (mFOL-proveable-formula(fmla) ⇒ mFOL-evidence(fmla))


Proof




Definitions occuring in Statement :  mFOL-proveable-formula: mFOL-proveable-formula(fmla),  mFOL-evidence: mFOL-evidence(fmla),  mFOL: mFOL(),  uall: ∀[x:A]. B[x],  implies: P ⇒ Q
Lemmas :  map_nil_lemma,  tupletype_nil_lemma,  it_wf
\mforall{}[fmla:mFOL()].  (mFOL-proveable-formula(fmla)  {}\mRightarrow{}  mFOL-evidence(fmla))



Date html generated: 2015_07_17-AM-07_57_14
Last ObjectModification: 2015_01_27-AM-10_05_22

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