MyWikiBiz, Author Your Legacy — Thursday November 06, 2025
Jump to navigationJump to search
1,428 bytes added
, 20:32, 29 January 2009
| Line 1,856: |
Line 1,856: |
| | E1d. (( f , g ))$(u). :$1b | | E1d. (( f , g ))$(u). :$1b |
| | </pre> | | </pre> |
| | + | |
| | + | <br> |
| | + | |
| | + | {| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black" width="90%" |
| | + | | |
| | + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| | + | |- style="height:48px; text-align:right" |
| | + | | width="98%" | <math>\text{Value Rule 1}\!</math> |
| | + | | width="2%" | |
| | + | |} |
| | + | |- |
| | + | | |
| | + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| | + | |- style="height:48px" |
| | + | | width="2%" style="border-top:1px solid black" | |
| | + | | width="14%" style="border-top:1px solid black" | <math>\text{If}\!</math> |
| | + | | width="84%" style="border-top:1px solid black" | <math>f, g ~:~ X \to \underline\mathbb{B}</math> |
| | + | |- style="height:48px" |
| | + | | |
| | + | | <math>\text{then}\!</math> |
| | + | | <math>\text{the following are identical propositions on}~ X:</math> |
| | + | |} |
| | + | |- |
| | + | | |
| | + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| | + | |- style="height:56px" |
| | + | | width="2%" style="border-top:1px solid black" | |
| | + | | width="14%" style="border-top:1px solid black" | <math>\text{V1a.}\!</math> |
| | + | | width="84%" style="border-top:1px solid black" | <math>\downharpoonleft f ~=~ g \downharpoonright</math> |
| | + | |- style="height:56px" |
| | + | | |
| | + | | <math>\text{V1b.}\!</math> |
| | + | | <math>\downharpoonleft f ~\Leftrightarrow~ g \downharpoonright</math> |
| | + | |- style="height:56px" |
| | + | | |
| | + | | <math>\text{V1c.}\!</math> |
| | + | | <math>\underline{((}~ f ~,~ g ~\underline{))}^\$</math> |
| | + | |} |
| | + | |} |
| | | | |
| | <br> | | <br> |