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I need help in order to formulate a rigorous proof of

*... (using only the definition and results Singh has mentioned to date ... )*

**Proposition 1.3.2 (a)**Proposition 1.3.2 reads as follows:

Can some please help me to formulate a formal and rigorous proof of Proposition 1.3.2 (a) ... that is to formally and rigorously demonstrate that \(\displaystyle (A^{ \circ })^{ \circ } = A^{ \circ }\) ... using only Definition 1.3.1 ...

Help will be much appreciated ...

Peter