What is equivalence relation in
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In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The relation "is equal to" is the canonical example of an equivalence relation, where for any objects a, b, and c: a = a (reflexive property), ... if a = b and b = c then a = c (transitive property).
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ɪɴ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs, ᴀɴ ᴇǫᴜɪᴠᴀʟᴇɴᴄᴇ ʀᴇʟᴀᴛɪᴏɴ ɪs ᴀ ʙɪɴᴀʀʏ ʀᴇʟᴀᴛɪᴏɴ ᴛʜᴀᴛ ɪs ʀᴇғʟᴇxɪᴠᴇ, sʏᴍᴍᴇᴛʀɪᴄ ᴀɴᴅ ᴛʀᴀɴsɪᴛɪᴠᴇ. ᴛʜᴇ ʀᴇʟᴀᴛɪᴏɴ "ɪs ᴇǫᴜᴀʟ ᴛᴏ" ɪs ᴛʜᴇ ᴄᴀɴᴏɴɪᴄᴀʟ ᴇxᴀᴍᴘʟᴇ ᴏғ ᴀɴ ᴇǫᴜɪᴠᴀʟᴇɴᴄᴇ ʀᴇʟᴀᴛɪᴏɴ, ᴡʜᴇʀᴇ ғᴏʀ ᴀɴʏ ᴏʙᴊᴇᴄᴛs ᴀ, ʙ, ᴀɴᴅ ᴄ: ᴀ = ᴀ, ɪғ ᴀ = ʙ ᴛʜᴇɴ ʙ = ᴀ, ᴀɴᴅ ɪғ ᴀ = ʙ ᴀɴᴅ ʙ = ᴄ ᴛʜᴇɴ ᴀ = ᴄ✨✨
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