Metamath Proof Explorer


Theorem subidd

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

Ref Expression
Hypothesis negidd.1 φA
Assertion subidd φAA=0

Proof

Step Hyp Ref Expression
1 negidd.1 φA
2 subid AAA=0
3 1 2 syl φAA=0