diff --git a/docs/opcodes/assertZero.md b/docs/opcodes/assertZero.md
index 9337647..7611940 100644
--- a/docs/opcodes/assertZero.md
+++ b/docs/opcodes/assertZero.md
@@ -1,9 +1,9 @@
 ### AssertZero
-AssertZero is the main opcode in any program: it allows arithmetic operations over an arbitrary set of variables. This arithmetic operations are represented through equations that must hold throughout the program. For example: if we want to say 
+AssertZero is the main opcode in almost any circuit: it allows arithmetic operations over an arbitrary set of variables. This arithmetic operations are represented through equations that must hold throughout the program. For example, if we want to say
 
-```x = y*y + z - 2``` 
+```x := y*y + z - 2``` 
 
-we should express it like 
+we should express it like an equation 
 
 ```y*y + z - x - 2 == 0```
 
@@ -21,14 +21,14 @@ Any assignment of a variable done in Noir, or any comparison by equality will en
 
 #### Equivalence in Plonky2
 
-In Plonky2 we count with an ```ArithmeticGate``` that we can access through the CircuitBuilder API. There are some methods that we can use to facilitate the translation without the need of using the gate directly:
+Plonky2 has an ```ArithmeticGate``` that we can access through the CircuitBuilder API. There are some methods that we can use to facilitate the translation without the need of using the gate directly:
 * ```add(t1: Target, t2: Target)```
 * ```mul(t1: Target, t2: Target)```
 * ```mul_const(t1: Target, c: FieldElement)```
 * ```assert_zero(t: Target)``` -> Restricts the value being held by the target to equal 0.
 
-The ArithmeticGate accepts equations of the form 
+The ArithmeticGate accepts equations of the form
 
 ```k_0 * x * y + k_1 * z```
 
-so to translate a single AssertZero we need to generate a Plonky2 circuit that potentially uses many Arithmetic Gates. 
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+so to translate a single AssertZero we need to generate a Plonky2 circuit that potentially uses many Arithmetic Gates. So, to sum it up, a single AssertZero opcode might be translated to many arithmetic operations. 
\ No newline at end of file