axfrege54a - Mathbox for Richard Penner

	Mathbox for Richard Penner		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > Mathboxes > axfrege54a		Structured version Visualization version GIF version

Theorem axfrege54a 43812

Description: Justification for ax-frege54a 43813. Identical to biid 261. (Contributed by RP, 24-Dec-2019.)

**Assertion**
Ref	Expression
axfrege54a	⊢ (𝜑 ↔ 𝜑)

**Proof of Theorem axfrege54a**
Step	Hyp	Ref	Expression
1		biid 261	1 ⊢ (𝜑 ↔ 𝜑)

Colors of variables: wff setvar class

Syntax hints: ↔ wb 206

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 207

This theorem is referenced by: (None)