theorem
SerreAffineCriterion.serre_localization_flat
(R : Type u_1)
[CommRing R]
(S : Submonoid R)
:
Module.Flat R (Localization S)
Localization at a submonoid S ⊆ R produces a flat R-module,
a key input for Serre's affineness criterion (exactness of global
sections on affine opens).