Theorem bnj1364 35425

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 35091	. 2 ⊢ (𝑅 FrSe 𝐴 ↔ (𝑅 Fr 𝐴 ∧ 𝑅 Se 𝐴))
2	1	simprbi 502	1 ⊢ (𝑅 FrSe 𝐴 → 𝑅 Se 𝐴)

This proof depends on syntax axioms:   → wi 4   Fr wfr 5610   Se w-bnj13 35088   FrSe w-bnj15 35090

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 210  df-an 401  df-bnj15 35091

This theorem is used by:  bnj1489  35453