# Category:Definitions/Parastrophes

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This category contains definitions related to Parastrophes.
Related results can be found in Category:Parastrophes.

### $(1-3)$ Parastrophe

$\struct {S, *}$ is a $(1-3)$ parastrophe of $\struct {S, \circ}$ if and only if:

$\forall x_1, x_2, x_3 \in S: x_1 \circ x_2 = x_3 \iff x_3 * x_2 = x_1$

### $(2-3)$ Parastrophe

$\struct {S, *}$ is a $(2-3)$ parastrophe of $\struct {S, \circ}$ if and only if:

$\forall x_1, x_2, x_3 \in S: x_1 \circ x_2 = x_3 \iff x_1 * x_3 = x_2$

### $(1-2)$ Parastrophe

$\struct {S, *}$ is the opposite magma of $\struct {S, \circ}$ if and only if:

$\forall x_1, x_2, x_3 \in S: x_1 \circ x_2 = x_3 \iff x_2 * x_1 = x_3$

## Pages in category "Definitions/Parastrophes"

The following 5 pages are in this category, out of 5 total.