Metamath Proof Explorer


Theorem subidd

Description: Subtraction of a number from itself. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis negidd.1 φ A
Assertion subidd φ A A = 0

Proof

Step Hyp Ref Expression
1 negidd.1 φ A
2 subid A A A = 0
3 1 2 syl φ A A = 0