Nuprl Lemma : bool_decision
∀[x:𝔹]. (x ∈ Decision)
Proof
Definitions occuring in Statement :
decision: Decision,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
decision: Decision,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top
Lemmas referenced :
subtype_rel_union,
unit_wf2,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
hypothesisEquality,
applyEquality,
thin,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesis,
because_Cache,
independent_isectElimination,
lambdaEquality,
isect_memberEquality,
voidElimination,
voidEquality,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
unionEquality
Latex:
\mforall{}[x:\mBbbB{}]. (x \mmember{} Decision)
Date html generated:
2019_10_15-AM-10_46_54
Last ObjectModification:
2018_09_17-PM-06_45_59
Theory : basic
Home
Index