Sentence examples for proof the first from inspiring English sources

Maybe by having conclusive proof the first time when it was really used on a larger scale, it might have prevented the others".

The Guardian story was seized upon by a jubilant Alex Salmond: it was proof, the first minister said, of the UK government's "bluff, bullying and bluster" over currency.

Proof The first part (a) is evident.

Proof The first inequality (a) is evident.

(i) We first proof the first inequality.

Proof The first claim follows from Remark 6.1.

Proof The second iterate of T is (25).

Proof The second inequality follows by inequality (11).

Proof The second inequality of (3) can be proven easily.

Proof The second inequality and the third inequality have already been proven in Proposition 2.4.

Proof The proof of the first inequality follows directly from Theorem 3.15.