Theorem bisym-P2.6b.SH 125

Description: Inference from bisym-P2.6b 124.

Hypothesis

Ref	Expression
bisym-P2.6b.SH.1	⊢ (𝜑 ↔ 𝜓)

Assertion

Ref	Expression
bisym-P2.6b.SH	⊢ (𝜓 ↔ 𝜑)

Proof of Theorem bisym-P2.6b.SH

Step	Hyp	Ref	Expression
1		bisym-P2.6b.SH.1	. 2 ⊢ (𝜑 ↔ 𝜓)
2		bisym-P2.6b 124	. 2 ⊢ ((𝜑 ↔ 𝜓) → (𝜓 ↔ 𝜑))
3	1, 2	ax-MP 14	1 ⊢ (𝜓 ↔ 𝜑)

Syntax hints:   ↔ wff-bi 104

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14

This theorem depends on definitions:  df-bi-D2.1 107

This theorem is referenced by:  rcp-NDJOIN3  189  rcp-NDJOIN4  190  rcp-NDJOIN5  191