Theorem 3comr 618

Description: Commutation in antecedent. Rotate right.

Hypothesis

Ref	Expression
3exp.1	⊢ ((φ ∧ ψ ∧ χ) → θ)

Assertion

Ref	Expression
3comr	⊢ ((χ ∧ φ ∧ ψ) → θ)

Proof of Theorem 3comr

Step	Hyp	Ref	Expression
1		3exp.1	. . 3 ⊢ ((φ ∧ ψ ∧ χ) → θ)
2	1	3coml 617	. 2 ⊢ ((ψ ∧ χ ∧ φ) → θ)
3	2	3coml 617	1 ⊢ ((χ ∧ φ ∧ ψ) → θ)

Syntax hints:   → wi 2   ∧ w3a 581

This theorem is referenced by:  oacan 3150  nnmcan 3190  le2tri3 4311  his7 5051  atcvat 5771  mdsymlem5 5780

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  df-3an 583

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