Description: The true constant has no free variables. (This can also be proven in one step with nfv , but this proof does not use ax-5 .) (Contributed by Mario Carneiro, 6-Oct-2016)
Ref | Expression | ||
---|---|---|---|
Assertion | nftru | ⊢ Ⅎ 𝑥 ⊤ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru | ⊢ ⊤ | |
2 | 1 | nfth | ⊢ Ⅎ 𝑥 ⊤ |