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Mirrors > Home > NFE Home > Th. List > com3r | GIF version |
Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.) |
Ref | Expression |
---|---|
com3.1 | ⊢ (φ → (ψ → (χ → θ))) |
Ref | Expression |
---|---|
com3r | ⊢ (χ → (φ → (ψ → θ))) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | com3.1 | . . 3 ⊢ (φ → (ψ → (χ → θ))) | |
2 | 1 | com23 72 | . 2 ⊢ (φ → (χ → (ψ → θ))) |
3 | 2 | com12 27 | 1 ⊢ (χ → (φ → (ψ → θ))) |
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: com13 74 com3l 75 com14 82 exp3a 425 ax12b 1689 mo 2226 moexex 2273 mob 3018 nnadjoin 4520 |
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