Sentence examples for points of proof from inspiring English sources

Not surprisingly, our main points of proof come from the ideas in [[23], Theorem 4.1] and [[27], Theorem 3.1].

With Bolzano, the status of axioms changes: instead of being evident, objects of intuition, they become the starting points of proofs in a deductive theory.

This is not, of course, because foundational areas such as set theory are the only areas of mathematics where philosophers think that deduction takes place, but rather because as pointed out above focusing on deduction puts particular emphasis on the starting points of proofs.

And my first point of proof is very simple: if I have not understood this message, I will never transport it ".

Theorem 20 Adding condition (U) to the hypotheses of Theorem 16 (resp. Theorem 18), we see that u is the unique fixed point of T. Proof The proof is an analog of the proof of Theorem 19.

The proof can be found in [24], we do not present it here and the main points of the proof can be found in Sect. 5.

Bonus points for proof of concept.

Bonus points for proof of maintenance.

"That's not the point of the proof of concept," Dr. Post said.

Then, the sequence {x n } converges weakly to a fixed point of T. Proof.

Then { x n } converges strongly to a fixed point of T. Proof Fix p ∈ F ( T ).