Theorem anc2ri 251

Description: Deduction conjoining antecedent to right of consequent in nested implication.

Hypothesis

Ref	Expression
anc2ri.1	⊢ (φ → (ψ → χ))

Assertion

Ref	Expression
anc2ri	⊢ (φ → (ψ → (χ ∧ φ)))

Proof of Theorem anc2ri

Step	Hyp	Ref	Expression
1		anc2ri.1	. 2 ⊢ (φ → (ψ → χ))
2		anc2r 249	. 2 ⊢ ((φ → (ψ → χ)) → (φ → (ψ → (χ ∧ φ))))
3	1, 2	ax-mp 6	1 ⊢ (φ → (ψ → (χ ∧ φ)))

Syntax hints:   → wi 2   ∧ wa 196

This theorem is referenced by:  fv3 2839

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

This theorem depends on definitions:  df-bi 128  df-an 198

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