Nuprl Lemma : dneg_elim
∀[A:ℙ]. (Dec(A) ⇒ A supposing ¬¬A)
Proof
Definitions occuring in Statement :
decidable: Dec(P),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
not: ¬A,
implies: P ⇒ Q
Definitions unfolded in proof :
stable: Stable{P}
Lemmas referenced :
stable__from_decidable
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lemma_by_obid
Latex:
\mforall{}[A:\mBbbP{}]. (Dec(A) {}\mRightarrow{} A supposing \mneg{}\mneg{}A)
Date html generated:
2016_05_13-PM-03_10_35
Last ObjectModification:
2016_01_06-PM-05_25_57
Theory : core_2
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