Metamath Proof Explorer


Theorem s3eq2

Description: Equality theorem for a length 3 word for the second symbol. (Contributed by AV, 4-Jan-2022)

Ref Expression
Assertion s3eq2 B=D⟨“ABC”⟩=⟨“ADC”⟩

Proof

Step Hyp Ref Expression
1 eqidd B=DA=A
2 id B=DB=D
3 eqidd B=DC=C
4 1 2 3 s3eqd B=D⟨“ABC”⟩=⟨“ADC”⟩