Nuprl Lemma : minimal-not-not-excluded-middle-ext
∀[A,P:ℙ]. (((P ∨ (P ⇒ A)) ⇒ A) ⇒ A)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
prop: ℙ,
implies: P ⇒ Q,
or: P ∨ Q
Definitions unfolded in proof :
member: t ∈ T,
minimal-not-not-excluded-middle
Lemmas referenced :
minimal-not-not-excluded-middle
Rules used in proof :
introduction,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
instantiate,
extract_by_obid,
hypothesis,
sqequalRule,
thin,
sqequalHypSubstitution,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[A,P:\mBbbP{}]. (((P \mvee{} (P {}\mRightarrow{} A)) {}\mRightarrow{} A) {}\mRightarrow{} A)
Date html generated:
2018_05_21-PM-00_02_24
Last ObjectModification:
2018_05_19-AM-07_11_20
Theory : call!by!value_2
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