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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 ] ⊤

Proof

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