But they seemed to mock him and whistle in his very face, and at the flaff of their wings his heart grew sore.
"The Moon Endureth--Tales and Fancies" by John Buchan
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Then the hoolits that bide in the Brocklan' wud
Flaff roun' wi' an' eerie cry;
While the water kelpies in ilka pool
Coor doon till it gangs by.
"The Fiddler O' Boglebriggs" by Alexander Anderson
Roun', roun, they gaed wi' an eldritch yell,
An' still they increased their speed,
Till at last they sank down in a flaff o' lowe,
Leavin' Gibby lyin' as deid.
"The Fiddler O' Boglebriggs" by Alexander Anderson
The second claim follows from the fact that φFlaff is an equivalence; hence preserves ﬁbred products (we use here the fact that ﬁbred products in Flaff /X are the usual ﬁbred products of schemes).
Pr\"ufer algebraic spaces
Furthermore, after replacing R with an aﬃne presentation, we may assume that R is also aﬃne, which is a contradiction since Flaff /Xf→Flaff /P .
Pr\"ufer algebraic spaces
Since Flaff /Xf→Flaff /P , we can lift fi to morphisms hi : Ri → Si .
Pr\"ufer algebraic spaces
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