Theorem 19.2 713

Description: Theorem 19.2 of [Margaris] p. 89.

Assertion

Ref	Expression
19.2	⊢ (∀xφ → ∃xφ)

Proof of Theorem 19.2

Step	Hyp	Ref	Expression
1		19.8a 712	. 2 ⊢ (φ → ∃xφ)
2	1	a4s 682	1 ⊢ (∀xφ → ∃xφ)

Syntax hints:   → wi 2  ∀wal 672  ∃wex 678

This theorem is referenced by:  19.39 761  19.24 762  19.34 772

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6  ax-4 673

This theorem depends on definitions:  df-bi 128  df-ex 679

metamath.org