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Theorem simp2r3 1271
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp2r3 ((𝜏 ∧ (𝜃 ∧ (𝜑𝜓𝜒)) ∧ 𝜂) → 𝜒)

Proof of Theorem simp2r3
StepHypRef Expression
1 simpr3 1190 . 2 ((𝜃 ∧ (𝜑𝜓𝜒)) → 𝜒)
213ad2ant2 1128 1 ((𝜏 ∧ (𝜃 ∧ (𝜑𝜓𝜒)) ∧ 𝜂) → 𝜒)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 398  w3a 1081
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 209  df-an 399  df-3an 1083
This theorem is referenced by:  btwnconn1lem8  33548  btwnconn1lem9  33549  btwnconn1lem10  33550  btwnconn1lem11  33551  btwnconn1lem12  33552  cdlemj3  37951  jm2.27  39595  iunrelexpmin2  40047
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