Nuprl Lemma : bnot_wf
∀[b:𝔹]. (¬bb ∈ 𝔹)
Proof
Definitions occuring in Statement :
bnot: ¬bb,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
bfalse: ff
Lemmas referenced :
bfalse_wf,
btrue_wf,
bool_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalHypSubstitution,
unionElimination,
thin,
equalityElimination,
sqequalRule,
extract_by_obid,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType
Latex:
\mforall{}[b:\mBbbB{}]. (\mneg{}\msubb{}b \mmember{} \mBbbB{})
Date html generated:
2019_06_20-AM-11_19_56
Last ObjectModification:
2018_09_26-AM-10_50_27
Theory : union
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