Prove or disprove ACBCABSolutionTrue Let xA distinguish 2 ca

Prove or disprove AC=BCA=B.

Solution

True.

Let xA distinguish 2 cases
xC or xC
- if xC then xAC as AC=BC, xB
- if xC, as xA, xAC and according to AC=BC, xBC and as xC, xB
In all case xB.

Since xA and xB => A = B