Nuprl Definition : altjbar

jbar(X;Y) ==  ∀f:ℕ ⟶ T. ∀g:ℕ ⟶ S.  ((∃n:ℕ(↑(X f))) ∨ (∃n:ℕ(↑(Y g))))



Definitions occuring in Statement :  nat: assert: b all: x:A. B[x] exists: x:A. B[x] or: P ∨ Q apply: a function: x:A ⟶ B[x]
Definitions occuring in definition :  apply: a assert: b nat: exists: x:A. B[x] or: P ∨ Q function: x:A ⟶ B[x] all: x:A. B[x]
FDL editor aliases :  altjbar

Latex:
jbar(X;Y)  ==    \mforall{}f:\mBbbN{}  {}\mrightarrow{}  T.  \mforall{}g:\mBbbN{}  {}\mrightarrow{}  S.    ((\mexists{}n:\mBbbN{}.  (\muparrow{}(X  n  f)))  \mvee{}  (\mexists{}n:\mBbbN{}.  (\muparrow{}(Y  n  g))))



Date html generated: 2019_06_20-PM-02_46_11
Last ObjectModification: 2019_06_06-AM-10_48_11

Theory : fan-theorem


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