diff --git a/docs/en/mathematics/logic.md b/docs/en/mathematics/logic.md
index 9642f65..cd4530a 100644
--- a/docs/en/mathematics/logic.md
+++ b/docs/en/mathematics/logic.md
@@ -1,6 +1,6 @@
# Logic
-*Definition*: a statement is a sentence that is either true or false, never both.
+> *Definition*: a statement is a sentence that is either true or false, never both.
@@ -12,32 +12,32 @@
-*Definition* **- Implies**: if $A$ and $B$ are assertions then the assertion if $A$ then $B$ ($A \implies B$) is true iff
-
-* $A$ is true and $B$ is true,
-* $A$ is false and $B$ is true,
-* $A$ is false and $B$ is false.
-
-This also works the opposite way, if $B$ then $A$ ($A \Longleftarrow B$)
+> *Definition* **- Implies**: if $A$ and $B$ are assertions then the assertion if $A$ then $B$ ($A \implies B$) is true iff
+>
+> * $A$ is true and $B$ is true,
+> * $A$ is false and $B$ is true,
+> * $A$ is false and $B$ is false.
+>
+> This also works the opposite way, if $B$ then $A$ ($A \Longleftarrow B$)
-*Definition* **- If and only if**: if $A$ and $B$ are assertions then the assertion $A$ if and only if $B$ (A \iff B) is true iff
+> *Definition* **- If and only if**: if $A$ and $B$ are assertions then the assertion $A$ if and only if $B$ (A \iff B) is true iff
+>
+> * $(A \Longleftarrow B) \land (a \implies B)$.
+>
+> This leads to the following table.
-* $(A \Longleftarrow B) \land (a \implies B)$.
-
-: This leads to the following table.
-
- | $A$ | $B$ | $A \implies B$ | $A \Longleftarrow B$ | $A \iff B$|
- | :---: | :---: | :------------: | :------------------: | :-------: |
- | true | true | true | true | true |
- | true | false | false | true | false |
- | false | true | true | false | false |
- | false | false | true | true | true |
+| $A$ | $B$ | $A \implies B$ | $A \Longleftarrow B$ | $A \iff B$|
+| :---: | :---: | :------------: | :------------------: | :-------: |
+| true | true | true | true | true |
+| true | false | false | true | false |
+| false | true | true | false | false |
+| false | false | true | true | true |
-*Definition*: suppose $P$ and $Q$ are assertions. $P$ implies $Q$ if $P \implies Q$ is true. $P$ and $Q$ are equivalent if $P$ implies $Q$ and $Q$ implies $P$.
+> *Definition*: suppose $P$ and $Q$ are assertions. $P$ implies $Q$ if $P \implies Q$ is true. $P$ and $Q$ are equivalent if $P$ implies $Q$ and $Q$ implies $P$.
## Methods of proof