Nuprl Lemma : ifthenelse-inl
∀[a,b,c:Top]. (if inl a then b else c fi ~ b)
Proof
Definitions occuring in Statement :
ifthenelse: if b then t else f fi ,
uall: ∀[x:A]. B[x],
top: Top,
inl: inl x,
sqequal: s ~ t
Definitions unfolded in proof :
ifthenelse: if b then t else f fi ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[a,b,c:Top]. (if inl a then b else c fi \msim{} b)
Date html generated:
2016_05_13-PM-03_59_29
Last ObjectModification:
2015_12_26-AM-10_50_18
Theory : bool_1
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