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"The campaign to pass Proposition relied on stereotypes to show that same-sex relationships are inferior to opposite-sex relationships," the judge held.
However, their propositions rely on well-functioning markets for the purchase of livestock feeds and the sale of live animals and livestock products by the herders, which do not often exist in remote areas with weak infrastructure in Mongolia.
Because the proof of Proposition 1 relies on Proposition 4, we postpone it until after Proposition 4 has been proved.
The e-cigarette industry has done an incredibly effective job by creating a value-proposition that relies on a comparison with the item they're looking to replace; the traditional tobacco cigarette.
When Proposition 13 was enacted in 1978 to limit property taxes, local revenue atrophied and school districts were forced to rely on often cash-strapped Sacramento.
The blueprint or ideation stage requires development of a business plan, prototypes, and a value proposition; the latter relies on an understanding of customer needs.
Still, it's a risky proposition to rely on the non-US markets to champion a western.
While functors of the form considered in Example 11.8 can be used in the elementary gluing construction of Proposition 3.8, their construction relies on using model structures of two different type on the source and the target, and this cannot be iterated.
According to Kripke, the view that all necessary propositions are a priori relies on a conflation of the concepts of necessity and analyticity.
5.4, relies on Propositions 1 and 2, whose proofs are presented in Sects 5.2 and 5.3.
No one relies on them".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com