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Mirrors > Home > ILE Home > Th. List > 2a1i | GIF version |
Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 4-Aug-2009.) (Proof shortened by Wolf Lammen, 23-Jul-2013.) |
Ref | Expression |
---|---|
2a1i.1 | ⊢ 𝜒 |
Ref | Expression |
---|---|
2a1i | ⊢ (𝜑 → (𝜓 → 𝜒)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2a1i.1 | . . 3 ⊢ 𝜒 | |
2 | 1 | a1i 9 | . 2 ⊢ (𝜑 → 𝜒) |
3 | 2 | a1d 22 | 1 ⊢ (𝜑 → (𝜓 → 𝜒)) |
Colors of variables: wff set class |
Syntax hints: → wi 4 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 |
This theorem is referenced by: equvini 1641 sbcrext 2835 |
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