# Category:Mathematical Induction

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This category contains results about Mathematical Induction.

**Mathematical induction** is a proof technique which works in two steps as follows:

- $(1): \quad$ A statement $Q$ is established as being true for some distinguished element $w_0$ of a well-ordered set $W$.

- $(2): \quad$ A proof is generated demonstrating that if $Q$ is true for an arbitrary element $w_p$ of $W$, then it is also true for its immediate successor $w_{p^+}$.

The conclusion is drawn that $Q$ is true for all elements of $W$ which are successors of $w_0$.

## Also see

## Subcategories

This category has the following 6 subcategories, out of 6 total.

### P

### S

### W

## Pages in category "Mathematical Induction"

The following 11 pages are in this category, out of 11 total.