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<p>In a setting where the connection <math>F\!</math> is fixed but the imagination <math>\underline{f}</math> is allowed to vary over a wide range of possibilities, call <math>p\!</math> the ''stretch of <math>F\!</math> to <math>\underline{f}</math> on <math>X,\!</math>'' and write it in the style <math>F^\$ \underline{f},</math> exactly as if <math>^{\backprime\backprime} F^\$ \, ^{\prime\prime}</math> denotes an operator <math>F^\$ : (X \to \underline\mathbb{B})^k \to (X \to \underline\mathbb{B})</math> that is derived from <math>F\!</math> and applied to <math>\underline{f},</math> ultimately yielding a proposition F$f : X -> B.</p></li>

<p>In a setting where the connection <math>F\!</math> is fixed but the imagination <math>\underline{f}</math> is allowed to vary over a wide range of possibilities, call <math>p\!</math> the ''stretch of <math>F\!</math> to <math>\underline{f}</math> on <math>X,\!</math>'' and write it in the style <math>F^\$ \underline{f},</math> exactly as if <math>^{\backprime\backprime} F^\$ \, ^{\prime\prime}</math> denotes an operator <math>F^\$ : (X \to \underline\mathbb{B})^k \to (X \to \underline\mathbb{B})</math> that is derived from <math>F\!</math> and applied to <math>\underline{f},</math> ultimately yielding a proposition <math>F^\$ \underline{f} : X \to \underline\mathbb{B}.</math></p></li>

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