Theorem bnj1364 30350

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 30012	. 2 ⊢ (𝑅 FrSe 𝐴 ↔ (𝑅 Fr 𝐴 ∧ 𝑅 Se 𝐴))
2	1	simprbi 479	1 ⊢ (𝑅 FrSe 𝐴 → 𝑅 Se 𝐴)

Syntax hints:   → wi 4   Fr wfr 4994   Se w-bnj13 30009   FrSe w-bnj15 30011

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 196  df-an 385  df-bnj15 30012

This theorem is referenced by:  bnj1489  30378