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Theorem ad2ant2rl 729
Description: Deduction adding two conjuncts to antecedent. (Contributed by NM, 24-Nov-2007.)
Hypothesis
Ref Expression
ad2ant2.1 ((φ ψ) → χ)
Assertion
Ref Expression
ad2ant2rl (((φ θ) (τ ψ)) → χ)

Proof of Theorem ad2ant2rl
StepHypRef Expression
1 ad2ant2.1 . . 3 ((φ ψ) → χ)
21adantrl 696 . 2 ((φ (τ ψ)) → χ)
32adantlr 695 1 (((φ θ) (τ ψ)) → χ)
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  caovmo  5645  fnfullfunlem2  5857  spacind  6287
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