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| Mirrors > Home > NFE Home > Th. List > df-ltc | GIF version | ||
| Description: Define cardinal less than. Definition from [Rosser] p. 375. (Contributed by Scott Fenton, 24-Feb-2015.) |
| Ref | Expression |
|---|---|
| df-ltc | ⊢ <c = ( ≤c ∖ I ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cltc 6091 | . 2 class <c | |
| 2 | clec 6090 | . . 3 class ≤c | |
| 3 | cid 4764 | . . 3 class I | |
| 4 | 2, 3 | cdif 3207 | . 2 class ( ≤c ∖ I ) |
| 5 | 1, 4 | wceq 1642 | 1 wff <c = ( ≤c ∖ I ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: brltc 6115 ltcex 6117 |
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