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| valign="bottom" | <math>=_\text{B}\!</math>
 
| valign="bottom" | <math>=_\text{B}\!</math>
 
| &nbsp;<math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{B}}\!</math>
 
| &nbsp;<math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{B}}\!</math>
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|}
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Consequently, the semiotic equivalence relations for <math>\text{A}\!</math> and <math>\text{B}\!</math> both induce the same semiotic partition on <math>S,\!</math> namely, the following.
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{| align="center" cellspacing="6" width="90%"
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|
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<math>
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\{ \{
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{}^{\backprime\backprime} \text{A} {}^{\prime\prime\text{A}},
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{}^{\backprime\backprime} \text{A} {}^{\prime\prime\text{B}},
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{}^{\backprime\backprime} \text{i} {}^{\prime\prime\text{A}},
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{}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{B}}
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\}~,~\{
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{}^{\backprime\backprime} \text{B} {}^{\prime\prime\text{A}},
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{}^{\backprime\backprime} \text{B} {}^{\prime\prime\text{B}},
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{}^{\backprime\backprime} \text{i} {}^{\prime\prime\text{B}},
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{}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{A}}
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\} \}.\!
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</math>
 
|}
 
|}
  
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