Nuprl Definition : fpf-all
∀x∈dom(f). v=f(x) ⇒ P[x; v] == ∀x:A. ((↑x ∈ dom(f)) ⇒ P[x; f(x)])
Definitions occuring in Statement :
fpf-ap: f(x),
fpf-dom: x ∈ dom(f),
assert: ↑b,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions occuring in definition :
all: ∀x:A. B[x],
implies: P ⇒ Q,
assert: ↑b,
fpf-dom: x ∈ dom(f),
fpf-ap: f(x)
FDL editor aliases :
fpf-all
Latex:
\mforall{}x\mmember{}dom(f). v=f(x) {}\mRightarrow{} P[x; v] == \mforall{}x:A. ((\muparrow{}x \mmember{} dom(f)) {}\mRightarrow{} P[x; f(x)])
Date html generated:
2018_05_21-PM-09_26_20
Last ObjectModification:
2018_02_09-AM-10_21_49
Theory : finite!partial!functions
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