Zulip Chat Archive

Stream: new members

Topic: What tactic do I use to show squares are non-negative?


YH (Dec 11 2019 at 06:58):

I want to do

lemma sq_geq_zero (a : ℝ) : (a ^ 2 ≥ 0) := sorry

as an exercise, but I don't know any tactic for this.
(or is there a way to cases a as either positive, negative or zero?)

Johan Commelin (Dec 11 2019 at 07:09):

There is the lemma le_total a 0

Johan Commelin (Dec 11 2019 at 07:10):

@YH You could do cases on that

Johan Commelin (Dec 11 2019 at 07:10):

Or the tactic by_cases h : a ≥ 0

Johan Commelin (Dec 11 2019 at 07:10):

@YH You could do cases on that


Last updated: Dec 20 2023 at 11:08 UTC