Nuprl Definition : fpf-union-join
fpf-union-join(eq;R;f;g) == <(fst(f)) @ filter(λa.(¬ba ∈ dom(f));fst(g)), λa.fpf-union(f;g;eq;R;a)>
Definitions occuring in Statement :
fpf-union: fpf-union(f;g;eq;R;x),
fpf-dom: x ∈ dom(f),
filter: filter(P;l),
append: as @ bs,
bnot: ¬bb,
pi1: fst(t),
lambda: λx.A[x],
pair: <a, b>
Definitions occuring in definition :
pair: <a, b>,
append: as @ bs,
filter: filter(P;l),
bnot: ¬bb,
fpf-dom: x ∈ dom(f),
pi1: fst(t),
lambda: λx.A[x],
fpf-union: fpf-union(f;g;eq;R;x)
FDL editor aliases :
fpf-union-join
Latex:
fpf-union-join(eq;R;f;g) == <(fst(f)) @ filter(\mlambda{}a.(\mneg{}\msubb{}a \mmember{} dom(f));fst(g)), \mlambda{}a.fpf-union(f;g;eq;R;a)>
Date html generated:
2018_05_21-PM-09_23_17
Last ObjectModification:
2018_02_09-AM-10_19_14
Theory : finite!partial!functions
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