Theorem bnj1364 33008

Description: Property of FrSe. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)

Assertion

Ref	Expression
bnj1364	⊢ (𝑅 FrSe 𝐴 → 𝑅 Se 𝐴)

Proof of Theorem bnj1364

Step	Hyp	Ref	Expression
1		df-bnj15 32672	. 2 ⊢ (𝑅 FrSe 𝐴 ↔ (𝑅 Fr 𝐴 ∧ 𝑅 Se 𝐴))
2	1	simprbi 497	1 ⊢ (𝑅 FrSe 𝐴 → 𝑅 Se 𝐴)

Syntax hints:   → wi 4   Fr wfr 5541   Se w-bnj13 32669   FrSe w-bnj15 32671

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-an 397  df-bnj15 32672

This theorem is referenced by:  bnj1489  33036