Theorem lbrf 98

Description: Linear biconditional is reflexive. This could be thought of as "both directions" of id 77.

Assertion

Ref	Expression
lbrf	⊦ (𝜑 ⧟ 𝜑)

Proof of Theorem lbrf

Step	Hyp	Ref	Expression
1		id 77	. 2 ⊦ (𝜑 ⊸ 𝜑)
2	1, 1	ilb 96	1 ⊦ (𝜑 ⧟ 𝜑)

Syntax hints:   ⧟ wlb 55

This theorem was proved from axioms:  ax-ibot 4  ax-ebot 5  ax-cut 6  ax-init 7  ax-mdco 8  ax-mdas 9  ax-iac 32  ax-eac1 33  ax-eac2 34

This theorem depends on definitions:  df-lb 56  df-li 62

This theorem is referenced by:  lbsymi  100