Metamath Proof Explorer


Theorem div2negd

Description: Quotient of two negatives. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypotheses div1d.1 φ A
divcld.2 φ B
divcld.3 φ B 0
Assertion div2negd φ A B = A B

Proof

Step Hyp Ref Expression
1 div1d.1 φ A
2 divcld.2 φ B
3 divcld.3 φ B 0
4 div2neg A B B 0 A B = A B
5 1 2 3 4 syl3anc φ A B = A B