Metamath Proof Explorer


Theorem mnfnepnf

Description: Minus and plus infinity are different. (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion mnfnepnf ⊢ −∞ ≠ +∞

Proof

Step Hyp Ref Expression
1 pnfnemnf ⊢ +∞ ≠ −∞
2 1 necomi ⊢ −∞ ≠ +∞