Evidence is proof of evidence. Proof is only evident if proved. Isn't it fun to play with words?
Just for fun I went to a dictionary. It gives the common usage of a word. Words are defined by usage, their meaning is not set in stone. At any rate here is the first definition of "proof" that I clicked on:
"noun
- evidence sufficient to establish a thing as true, or to produce belief in its truth.
- anything serving as such evidence:What proof do you have?
- the act of testing or making trial of anything; test; trial:to put a thing to the proof."
the definition of proof
Oops, my bad. I forgot that very often the top article one sees on a Google search is the one that paid the most. Let's go to the next one on the list:
Definition of proof
: the cogency of evidence that compels acceptance by the mind of a truth or a fact: the process or an instance of establishing the validity of a statement especially by derivation from other statements in accordance with principles of reasoning
2obsolete :
experience
: something that induces certainty or establishes validity
4archaic : the quality or state of having been tested or tried; especially : unyielding hardness
: evidence operating to determine the finding or judgment of a tribunal
: a copy (as of typeset text) made for examination or correction: a test impression of an engraving, etching, or lithograph: a coin that is struck from a highly polished die on a polished planchet, is not intended for circulation, and sometimes differs in metallic content from coins of identical design struck for circulation: a test photographic print made from a negative
: a test applied to articles or substances to determine whether they are of standard or satisfactory quality
: the minimum alcoholic strength of proof spirit
b : strength with reference to the standard for proof spirit; specifically : alcoholic strength indicated by a number that is twice the percent by volume of alcohol present
- whiskey of 90 proof is 45 percent alcohol
Definition of PROOF
Still not seeing the mathematical definition of "proof" that some seem to think that it is the only one.
Ooh Ooh! Here is a source that mentions both mathematical and formal proof:
Proof - Wikipedia
But they are second and third in the list The definition that I used was still the first on the list.
As I said words have different meanings. The response to a question should be based upon the meaning that the person asking a question used. I used the obvious definition used by the OP, or perhaps someone can show me how evidence is used in either a mathematical or formal proof.
By the context my first answer was correct.