Question

What is a thearom how can we prove it​

Answer 1

Answer:

ᴛᴏ ᴇsᴛᴀʙʟɪsʜ ᴀ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ sᴛᴀᴛᴇᴍᴇɴᴛ ᴀs ᴀ ᴛʜᴇᴏʀᴇᴍ, ᴀ ᴘʀᴏᴏғ ɪs ʀᴇϙᴜɪʀᴇᴅ. ᴛʜᴀᴛ ɪs, ᴀ ᴠᴀʟɪᴅ ʟɪɴᴇ ᴏғ ʀᴇᴀsᴏɴɪɴɢ ғʀᴏᴍ ᴛʜᴇ ᴀxɪᴏᴍs ᴀɴᴅ ᴏᴛʜᴇʀ ᴀʟʀᴇᴀᴅʏ-ᴇsᴛᴀʙʟɪsʜᴇᴅ ᴛʜᴇᴏʀᴇᴍs ᴛᴏ ᴛʜᴇ ɢɪᴠᴇɴ sᴛᴀᴛᴇᴍᴇɴᴛ ᴍᴜsᴛ ʙᴇ ᴅᴇᴍᴏɴsᴛʀᴀᴛᴇᴅ. ɪɴ ɢᴇɴᴇʀᴀʟ, ᴛʜᴇ ᴘʀᴏᴏғ ɪs ᴄᴏɴsɪᴅᴇʀᴇᴅ ᴛᴏ ʙᴇ sᴇᴘᴀʀᴀᴛᴇ ғʀᴏᴍ ᴛʜᴇ ᴛʜᴇᴏʀᴇᴍ sᴛᴀᴛᴇᴍᴇɴᴛ ɪᴛsᴇʟғ.

Answer 2

To establish a mathematical statement as a theorem, a proof is required. That is, a valid line of reasoning from the axioms and other already-established theorems to the given statement must be demonstrated. In general, the proof is considered to be separate from the theorem statement itself.