This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer


Theorem sbtru

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

Ref Expression
Assertion sbtru
|- [ y / x ] T.

Proof

Step Hyp Ref Expression
1 tru
 |-  T.
2 1 sbt
 |-  [ y / x ] T.