Theorem 1bi 111

Description: Identity inference.

Hypothesis

Ref	Expression
1bi.1	a = b

Assertion

Ref	Expression
1bi	1 = (a ≡ b)

Proof of Theorem 1bi

Step	Hyp	Ref	Expression
1		1bi.1	. . 3 a = b
2	1	bi1 110	. 2 (a ≡ b) = 1
3	2	ax-r1 34	1 1 = (a ≡ b)

Syntax hints:   = wb 1   ≡ tb 5  1wt 9

This theorem is referenced by:  wed 423  oi3oa3 715

This theorem was proved from axioms:  ax-a1 29  ax-a2 30  ax-a5 33  ax-r1 34  ax-r2 35  ax-r4 36  ax-r5 37

This theorem depends on definitions:  df-b 38  df-a 39  df-t 40  df-f 41

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