Sentence examples similar to assumed the contrary from inspiring English sources

What would assuming the contrary be?

You assume the contrary and you show it leads to a contradiction.

Let assume the contrary.

Let us assume the contrary.

Assume the contrary, then on.

Assume the contrary that for some, (2.4).

Assume the contrary, that is 0 ∈ K ∘.

Assume the contrary, let (41) be violated.

Assume the contrary, that is, { x n } is not Cauchy.

Assume the contrary, that is, (|u_{j}|rightarrowinfty).

Assume the contrary that for some, we have.