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Related theorems GIF version |
| Description: Principle of identity with antecedent. |
| Ref | Expression |
|---|---|
| idd | ⊢ (φ → (ψ → ψ)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id 9 | . 2 ⊢ (ψ → ψ) | |
| 2 | 1 | a1i 7 | 1 ⊢ (φ → (ψ → ψ)) |
| Colors of variables: wff set class |
| Syntax hints: → wi 2 |
| This theorem is referenced by: anim1d 432 anim2d 433 orim1d 437 orim2d 438 dedlema 569 a16g 933 r19.36av 1299 r19.44av 1305 r19.45av 1306 elnnz 4572 |
| This theorem was proved from axioms: ax-1 3 ax-2 4 ax-mp 6 |