MHB Formal Proofs in Maths: Establishing Equivalence

[solakis1]

From the book "FORMAL PROOFS IN MATHS "(Amazon.com),page 101 ,exercise19 ,Iread:

Establish the equivalence between:

$$0<1$$,.........$$0<A\Longrightarrow 0<\frac{1}{A}$$,............$$AC<BC\wedge 0<C\Longrightarrow A<B$$

 

[MarkFL]

From the book "FORMAL PROOFS IN MATHS "(Amazon.com),page 101 ,exercise19 ,Iread:

Establish the equivalence between:

$$0<1$$,.........$$0<A\Longrightarrow 0<\frac{1}{A}$$,............$$AC<BC\wedge 0<C\Longrightarrow A<B$$

Please post the solution you have ready.

 

[solakis1]

Please post the solution you have ready.

I am sorry but the book where i took that inequality does not give a solution, so let that be an unsolved challenge question