Theorem 3anidm12p1

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. 3anidm12 denotes the deduction which would have been named uun112 if it did not pre-exist in set.mm. This second permutation's name is based on this pre-existing name. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	3anidm12p1.1	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜑 ) → 𝜒 )
Assertion	3anidm12p1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		3anidm12p1.1	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜑 ) → 𝜒 )
2	1	3anidm13	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )