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Related theorems GIF version |
| Description: Define 'less than or equal to' analogue. |
| Ref | Expression |
|---|---|
| df-le | (a ≤2 b) = ((a ∪ b) ≡ b) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wva | . . 3 term a | |
| 2 | wvb | . . 3 term b | |
| 3 | 1, 2 | wle2 11 | . 2 term (a ≤2 b) |
| 4 | 1, 2 | wo 6 | . . 3 term (a ∪ b) |
| 5 | 4, 2 | tb 5 | . 2 term ((a ∪ b) ≡ b) |
| 6 | 3, 5 | wb 1 | 1 wff (a ≤2 b) = ((a ∪ b) ≡ b) |
| Colors of variables: term |
| This definition is referenced by: lei2 338 wdf-le1 360 wdf-le2 361 wle0 372 wler 373 |