Theorem sbtru 2071

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 1543	. 2 ⊢ ⊤
2	1	sbt 2070	1 ⊢ [𝑦 / 𝑥]⊤

Syntax hints:  ⊤wtru 1540  [wsb 2068

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1799

This theorem depends on definitions:  df-bi 206  df-tru 1542  df-sb 2069

This theorem is referenced by: (None)