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Edexcel C3 and C4 proofs

For C3 and C4, are we expected to know all the information from C1 and C2 in detail again?

And in the specification it says "Methods of proof, including proof by contradiction and disproof by counter-example, are required. At least one question on the paper
will require the use of proof."
what does this actually mean? Is it just like the trig ones?

thanks!
Yes, it is synoptic. It won't be asked a lot obviously, but it will be worth some marks.

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