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Theorem simpli 444
Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994.)
Hypothesis
Ref Expression
simpli.1 (φ ψ)
Assertion
Ref Expression
simpli φ

Proof of Theorem simpli
StepHypRef Expression
1 simpli.1 . 2 (φ ψ)
2 simpl 443 . 2 ((φ ψ) → φ)
31, 2ax-mp 5 1 φ
Colors of variables: wff setvar class
Syntax hints:   wa 358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by: (None)
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