Theorem 3ad2antr3 816

Description: Deduction adding a conjuncts to antecedent.

Hypothesis

Ref	Expression
3ad2antl.1	|- ((ph /\ ch) -> th)

Assertion

Ref	Expression
3ad2antr3	|- ((ph /\ (ps /\ ta /\ ch)) -> th)

Proof of Theorem 3ad2antr3

Step	Hyp	Ref	Expression
1		3ad2antl.1	. . 3 |- ((ph /\ ch) -> th)
2	1	adantrl 396	. 2 |- ((ph /\ (ta /\ ch)) -> th)
3	2	3adantr1 808	1 |- ((ph /\ (ps /\ ta /\ ch)) -> th)

Syntax hints:   -> wi 3   /\ wa 223   /\ w3a 777

This theorem is referenced by:  grpmuldivass 8084  grppnpcan2 8088  nvmdi 8266  dmdsl3t 10237

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225  df-3an 779

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