Theorem sbtru 2103

Description: The result of substituting in the truth constant "true" is true. (Contributed by BJ, 2-Sep-2023.)

Assertion

Ref	Expression
sbtru	⊢ [𝑦 / 𝑥]⊤

Proof of Theorem sbtru

Step	Hyp	Ref	Expression
1		tru 1573	. 2 ⊢ ⊤
2	1	sbt 2102	1 ⊢ [𝑦 / 𝑥]⊤

This proof depends on syntax axioms:  ⊤wtru 1570  [wsb 2098

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1827

This proof depends on definitions:  df-bi 210  df-tru 1572  df-sb 2099

This theorem is used by: (None)