@user21820 For abs I am trying to prove:
∀a∈ℝ ∃!b∈ℝ ( ( a ≥ 0 ⇒ b = a ) ∧ ( a ≤ 0 ⇒ b = −a ) ).
And for that I am first trying to prove:
∀a∈ℝ ∃b∈ℝ ( ( a ≥ 0 ⇒ b = a ) ∧ ( a ≤ 0 ⇒ b = −a ) ).
I thought it is something very trivial. But now when I am trying to prove it , it seems almost impossible. Maybe it is not trivial or I am missing something very simple.
∀a∈ℝ ∃!b∈ℝ ( ( a ≥ 0 ⇒ b = a ) ∧ ( a ≤ 0 ⇒ b = −a ) ).
And for that I am first trying to prove:
∀a∈ℝ ∃b∈ℝ ( ( a ≥ 0 ⇒ b = a ) ∧ ( a ≤ 0 ⇒ b = −a ) ).
I thought it is something very trivial. But now when I am trying to prove it , it seems almost impossible. Maybe it is not trivial or I am missing something very simple.