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Mirrors > Home > NFE Home > Th. List > pm2.43 | Unicode version |
Description: Absorption of redundant antecedent. Also called the "Contraction" or "Hilbert" axiom. Theorem *2.43 of [WhiteheadRussell] p. 106. (Contributed by NM, 5-Aug-1993.) (Proof shortened by O'Cat, 15-Aug-2004.) |
Ref | Expression |
---|---|
pm2.43 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.27 35 | . 2 | |
2 | 1 | a2i 12 | 1 |
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: pm5.4 351 |
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