Sentence examples for got a contradiction from inspiring English sources

Since, we have got a contradiction with.

Since z : = ω ⊕ T m ω 2 ∈ C and z ≠ ω, we have got a contradiction with Φ = infx∈CΦ x).

In [19] from inequality (7), authors got a contradiction and concluded that (F(p(x_{2n},x_{2n+2}))=0)     that is    (x_{2n}=x_{2n+2}). Now, by the property of partial metric space (x_{2n}=x_{2n+2}) when (p(x_{2n},x_{2n+2})=0), which is incorrect because the function F is not defined at the point 0.   5.

which contradicts that Similarly, letting for some we get a contradiction.

Clearly, this gets a contradiction.

Thus we get a contradiction.

as, which gets a contradiction.

We get a contradiction again.

Then we get a contradiction.

And we get a contradiction.

Also, we get a contradiction.  .