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Mirrors > Home > ILE Home > Th. List > 2a1 | GIF version |
Description: A double form of ax-1 6. Its associated inference is 2a1i 27. Its associated deduction is 2a1d 23. (Contributed by BJ, 10-Aug-2020.) (Proof shortened by Wolf Lammen, 1-Sep-2020.) |
Ref | Expression |
---|---|
2a1 | ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜑))) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 | . 2 ⊢ (𝜑 → 𝜑) | |
2 | 1 | 2a1d 23 | 1 ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜑))) |
Colors of variables: wff set 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: xnn0lenn0nn0 9701 dfgcd2 11761 |
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