In summary: The interplay of meaning and axiomatic machine mathematics, captured by the difference between $\models$ and $\vdash$, is a subtle and interesting thing.
What is the meaning of the $c$ in $C_c^ {\infty} (\mathbb {R})$?
In context that looks the same as =: (meaning the left and right sides are equal and the left side is the definition of the right side).
sequences and series - What is the meaning of “=::” in mathematics ...
Tamil[b] (தமிழ், Tamiḻ, pronounced [t̪amiɻ] ⓘ) is a Dravidian language spoken by the Tamil people of South Asia. It is one of the longest-surviving classical languages in the world, [10][11] attested since c. 300 BCE. [12][13][14][15][16] Tamil was the lingua franca for early maritime traders in South India, with Tamil inscriptions found outside of the Indian subcontinent, such ...
Tamil schools of personal religious devotion (bhakti) have long been important in Hinduism, being enshrined in a literature dating back to the 6th century ce. Buddhism and Jainism were widespread among the Tamil, and these religions’ literatures predate the early bhakti literature in the Tamil area.
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