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Mirrors > Home > MPE Home > Th. List > Mathboxes > a1i24 | Structured version Visualization version GIF version |
Description: Add two antecedents to a wff. Deduction associated with a1i13 27. (Contributed by Jeff Hankins, 5-Aug-2009.) |
Ref | Expression |
---|---|
a1i24.1 | ⊢ (𝜑 → (𝜒 → 𝜏)) |
Ref | Expression |
---|---|
a1i24 | ⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏)))) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | a1i24.1 | . . 3 ⊢ (𝜑 → (𝜒 → 𝜏)) | |
2 | 1 | a1dd 50 | . 2 ⊢ (𝜑 → (𝜒 → (𝜃 → 𝜏))) |
3 | 2 | a1d 25 | 1 ⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏)))) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: (None) |
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