Proposition : 'No pain, No gain' is true

Transposition
'No pain'=NP
'No Gain'=NG

NP→NG

True proposition's contraposition is true.

~NG→~NP

not(No gain)→not(No pain)

Gain→Pain

Amount of Pain is direct propotion to amount of Gain.

'Gain'= G
'Pain'= P

f(G)=P
aXⁿ=P

f(0)=P
a0ⁿ=P
0=P

∴ No Gain(0)→No Pain(0)

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