Theorem simp3OLD 1150

Description: Obsolete version of simp3 1132 as of 22-Jun-2022. (Contributed by NM, 21-Apr-1994.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
simp3OLD	⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → 𝜒)

Proof of Theorem simp3OLD

Step	Hyp	Ref	Expression
1		3simpc 1146	. 2 ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → (𝜓 ∧ 𝜒))
2	1	simprd 483	1 ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → 𝜒)

Syntax hints:   → wi 4   ∧ w3a 1071

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 197  df-an 383  df-3an 1073

This theorem is referenced by: (None)