Nuprl Lemma : rec_select_update_lemma
∀y,v,x,r:Top. (r[x := v].y ~ if y =a x then v else r.y fi )
Proof
Definitions occuring in Statement :
record-update: r[x := v],
record-select: r.x,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
record-update: r[x := v],
record-select: r.x
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}y,v,x,r:Top. (r[x := v].y \msim{} if y =a x then v else r.y fi )
Date html generated:
2016_05_15-PM-06_42_40
Last ObjectModification:
2015_12_27-AM-11_50_51
Theory : general
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