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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-outsideof | Structured version Visualization version GIF version | ||
| Description: The outside of relationship. This relationship expresses that 𝑃, 𝐴, and 𝐵 fall on a line, but 𝑃 is not on the segment 𝐴𝐵. This definition is taken from theorem 6.4 of [Schwabhauser] p. 43, since it requires no dummy variables. (Contributed by Scott Fenton, 17-Oct-2013.) |
| Ref | Expression |
|---|---|
| df-outsideof | ⊢ OutsideOf = ( Colinear ∖ Btwn ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | coutsideof 36120 | . 2 class OutsideOf | |
| 2 | ccolin 36038 | . . 3 class Colinear | |
| 3 | cbtwn 28904 | . . 3 class Btwn | |
| 4 | 2, 3 | cdif 3948 | . 2 class ( Colinear ∖ Btwn ) |
| 5 | 1, 4 | wceq 1540 | 1 wff OutsideOf = ( Colinear ∖ Btwn ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: broutsideof 36122 |
| Copyright terms: Public domain | W3C validator |