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Related theorems GIF version |
| Description: Define unordered triple of classes. Definition of [Enderton] p. 19. |
| Ref | Expression |
|---|---|
| df-tp | ⊢ {A, B, C} = ({A, B} ∪ {C}) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class A | |
| 2 | cB | . . 3 class B | |
| 3 | cS | . . 3 class C | |
| 4 | 1, 2, 3 | ctp 1813 | <PAN CLASS=i>. 2 class {A, B, C} |
| 5 | 1, 2 | cpr 1809 | . . 3 class {A, B} |
| 6 | 3 | csn 1808 | . . 3 class {C} |
| 7 | 5, 6 | cun 1485 | . 2 class ({A, B} ∪ {C}) |
| 8 | 4, 7 | wceq 1091 | 1 wff {A, B, C} = ({A, B} ∪ {C}) |
| Colors of variables: wff set class |
| This definition is referenced by: eltp 1834 tpi1 1843 tpi2 1844 tpi3 1845 tpex 1952 |