Theorem a1dd 42

Description: Deduction introducing a nested embedded antecedent.

Hypothesis

Ref	Expression
a1dd.1	⊢ (φ → (ψ → χ))

Assertion

Ref	Expression
a1dd	⊢ (φ → (ψ → (θ → χ)))

Proof of Theorem a1dd

Step	Hyp	Ref	Expression
1		a1dd.1	. . 3 ⊢ (φ → (ψ → χ))
2	1	a1d 14	. 2 ⊢ (φ → (θ → (ψ → χ)))
3	2	com23 32	1 ⊢ (φ → (ψ → (θ → χ)))

Syntax hints:   → wi 2

This theorem is referenced by:  adantlrr 315  adantrlr 317  adantrrl 318  prlem1 576  omordi 3164  oen0 3165

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

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