"assume (for simplicity) that" vs "the proof of that is provided"

Question

"assume (for simplicity) that" vs "the proof of that is provided"

The two phrases are not directly comparable as they serve different purposes. "Assume (for simplicity) that" is used to introduce a simplifying assumption in a discussion or explanation. On the other hand, "the proof of that is provided" is used to indicate that evidence or justification for a statement is given. They are used in different contexts and cannot be interchanged.

Last Updated: March 17, 2024

This phrase is used to set up a hypothetical scenario or assumption for the sake of simplifying a complex situation or argument.

Examples:

Assume, for simplicity, that the Earth is a perfect sphere.
Let's assume, for simplicity, that the cost remains constant.
Assume, for simplicity, that the population growth rate is linear.
For simplicity, assume that the system is in equilibrium.
Let's assume, for simplicity, that the process is reversible.

This phrase is used to signal that the evidence or reasoning supporting a particular claim or statement is being presented.

Examples:

The proof of that is provided in the following section.
In the next paragraph, the proof of that is provided.
The proof of that is provided through experimental data.
The proof of that is provided by mathematical analysis.
The proof of that is provided by citing relevant sources.

Answer 1

assume (for simplicity) that

This phrase is correct and commonly used in English to introduce a simplifying assumption in a discussion or explanation.

Answer 2

the proof of that is provided

This phrase is correct and commonly used in English to indicate that evidence or justification for a statement is given.

"assume (for simplicity) that" vs "the proof of that is provided"

assume (for simplicity) that

the proof of that is provided

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