theorem zeqmadd1d (G: wff) (a b c n: nat): $ G -> modZ(n): a = b $ > $ G -> modZ(n): a +Z c = b +Z c $;
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zeqmadd1 | modZ(n): a +Z c = b +Z c <-> modZ(n): a = b |
|
2 | hyp h | G -> modZ(n): a = b |
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3 | 1, 2 | sylibr | G -> modZ(n): a +Z c = b +Z c |