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заложить основы stresses
gen.	lay down the foundation for (чего-либо raf); lay the basis for (чего-либо); lay the foundations of/for (ad_notam); establish a path for (чего-либо sankozh)
Игорь Миг	lay the groundwork; do the groundwork; do the groundwork for
dipl.	lay the groundwork for (чего-либо)
заложить основу
gen.	give a grounding (для... – in... Anglophile); lay a foundation; lay the ground work (AMlingua); lay the groundwork (of Phyloneer); form the basis (Darwin’s theories formed the basis for modern scientific thought. ART Vancouver); establish a framework (MichaelBurov); lay down a base (Oksana-Ivacheva); provide the basis (Paulichatte); make a start toward (You can make a start toward improving your personality. VPK)
Игорь Миг	set the stage for
fig.	lay the foundation; lay the foundation (for sth. – чего-л.: The video game industry in this city has laid the foundation for a thriving VR / AR industry. ART Vancouver)
Makarov.	lay the foundation s of something (чего-либо); give a grounding
media.	lay basis (bigmaxus)
заложить основу чего-либо
Gruzovik	lay the basis for

заложить основы: 12 phrases in 7 subjects

Commerce	1
Diplomacy	3
Economy	1
General	4
Mathematics	1
Politics	1
Scientific	1