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Theorem simpli 104
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 102 . 2 ((φ ψ) → φ)
31, 2ax-mp 7 1 φ
Colors of variables: wff set class
Syntax hints:   wa 97
This theorem was proved from axioms:  ax-mp 7  ax-ia1 99
This theorem is referenced by:  bi1  111  bi2  121  dfbi2  368  orc  632  mtp-xor  1313  pwundifss  4013  ssdomg  6194
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