Understood.
You're mistaken...theists don't have to prove God's existence, as his existence isn't provable by believers. What theists have to do is give you reasons why they believe in God, or their particular religion.
You can either accept of reject those reasons.
The very definition of proof is to make the evidence pointing to a certain claim a truthful claim. God will prove his own existence. This is universally understood by believers.
Atheists keep wishing to force their standards of evidence on us.
That's a somewhat incorrect definition of proof. Those are most peoples standards, including the religious scientists of whom you and Neil deGrasse Tyson speak. That you see it as being "forced" on theists speaks volumes.
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ev·i·dence /ˈevədəns/ noun; evidence 1. the available body of facts or information indicating whether a belief or proposition is true or valid., "the study finds little evidence of overt discrimination"
synonyms: proof, confirmation, verification, substantiation, corroboration, affirmation, attestation More
"they found evidence of his plotting"
•Law information given personally, drawn from a document, or in the form of material objects, tending or used to establish facts in a legal investigation or admissible as testimony in court., "without evidence, they can't bring a charge"
synonyms: proof, confirmation, verification, substantiation, corroboration, affirmation, attestation; "they found evidence of his plotting"
•testimony, statement, attestation, declaration, avowal, submission, claim, contention, allegation; deposition, representation, affidavit "the court accepted her evidence"
•signs; indications. plural noun: evidences "there was no obvious evidence of a break-in"
synonyms: signs, indications, pointers, marks, traces, suggestions, hints; manifestation "evidence of a struggle"
verb : evidence; 3rd person present: evidences; past tense: evidenced; past participle: evidenced; gerund or present participle: evidencing
1. be or show evidence of. "that it has been populated from prehistoric times is evidenced by the remains of Neolithic buildings"
synonyms: indicate, show, reveal, display, exhibit, manifest;
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proof /proof/noun noun: proof; plural noun: proofs
1. evidence or argument establishing or helping to establish a fact or the truth of a statement., "you will be asked to give proof of your identity"
synonyms: evidence, verification, corroboration, authentication, confirmation, certification, documentation, validation, attestation, substantiation
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faith
/fāTH/
noun
noun: faith
1. complete trust or confidence in someone or something., "this restores one's faith in politicians"
synonyms: trust, belief, confidence, conviction, optimism, hopefulness, hope; "he justified his boss's faith in him"
antonyms: mistrust
2.
strong belief in God or in the doctrines of a religion, based on spiritual apprehension rather than proof.
synonyms: religion, church, sect, denomination, (religious) persuasion, (religious) belief, ideology, creed, teaching, doctrine