detailed proofs vs detailed proof

Both "detailed proofs" and "detailed proof" are correct, but they are used in different contexts. "Detailed proofs" is used when referring to multiple pieces of evidence or explanations, while "detailed proof" is used when talking about a single piece of evidence or explanation.

Last updated: March 31, 2024

detailed proofs

This phrase is correct and commonly used when referring to multiple pieces of evidence or explanations.

Use "detailed proofs" when you want to emphasize that there are multiple detailed pieces of evidence or explanations supporting a claim or argument.

Examples:

The book provides detailed proofs of the theorem.
She presented detailed proofs for each step of her argument.

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Lawyers, colleagues, citizens and voters have said to me that I will have to provide detailed proof.
Ryanair had to provide supporting invoices and detailed proof of how the money was spent.
It is also appropriate to lay down more detailed provisions for issuing proofs of origin in the Union, where the exigencies of trade so require.
We want to work jointly to ensure that we have detailed and reliable proof of the waste management routes and their safety, particularly as the storage periods will be very long.
The proof of this is the detailed procedure referred to by Commissioner Almunia for supervising the programme implemented by the Greek Government.
For the units under assessment for simplified evaluation, the proof of conformity shall include a detailed description of the noise relevant changes compared to the reference type.
The British national authority, the Human Fertilisation and Embryology Authority, following a detailed enquiry into this matter, concluded that there was no proof of payment.
As regards the proof of transport of the goods, more particularly, Umicore emphasizes that it submitted to the Special Tax Inspectorate very detailed documentation justifying the transport.
Those means of proof must nevertheless be just as satisfactory for the purpose of the verification in accordance with the detailed rules laid down by national law, provided that those rules respect the scope and effectiveness of Community law.
5. If there is no formal proof, the requested Member State shall acknowledge its responsibility if the circumstantial evidence is coherent, verifiable and sufficiently detailed to establish responsibility.
Madam President-in-Office, you have given a very detailed answer, which is proof of your personal interest and that of your country in this particular matter.
Furthermore, the Commission shall be empowered to adopt delegated acts in accordance with Article 210 concerning the documents that give proof of economic and financial capacity and the evidence of technical and professional capacity and detailed rules on electronic auctions and abnormally low tenders.
Whereas Article 34 of the TRIPs Agreement contains detailed provisions on the burden of proof which is binding on all Member States;
a detailed description of the measures already taken and planned to comply with this Decision, including the proof that it registered the recovery order at an appropriate ranking in the liquidation process of Termoelectrica,
The purpose of the application is to amend the specification by giving more detailed information on the product description, the proof of origin, the method of production, labelling, national requirements and the contact details of the control body.
Both granting procedures require, inter alia, the submission of detailed information and documents proving the existence and needs of the project, the eligibility of the recipient, proof of the eligible expenses incurred, and a copy of the bank loan contract.
derogating from Article 31(10) of Council Regulation (EC) No 1255/1999 as regards proof of arrival at destination in the case of differentiated refunds and laying down detailed rules for the application of the lowest export refund rate for certain milk products

Alternatives:

comprehensive evidence
thorough explanations
in-depth proofs
elaborate demonstrations
extensive verification

detailed proof

This phrase is correct and commonly used when referring to a single piece of evidence or explanation.

Use "detailed proof" when you want to emphasize a single detailed piece of evidence or explanation supporting a claim or argument.