Exact(8)
It is equivalent to proving left.
Now, proving (3.4) is equivalent to proving that (3.9).
So proving convergence for (phi _n) is equivalent to proving convergence for (psi _n).
Then, the proof of the lemma is equivalent to proving the following statement: (A3).
Proving convergence for (phi _n) is equivalent to proving convergence for (psi _n = iota circ phi _n circ iota).
Second method: To show equation (5.2) is equivalent to proving that A ( a, b ) I ( a, b ) < I ( a, b ).
Obviously, the operator Φ has a fixed point is equivalent to proving that Φ ˜ has a fixed point.
Thus, finding a positive solution of system (1.5) is equivalent to proving that ℱ has a nontrivial fixed point in D ′.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com