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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-nffal | Structured version Visualization version GIF version |
Description: The false constant has no free variables. (Contributed by BJ, 6-May-2019.) |
Ref | Expression |
---|---|
bj-nffal | ⊢ ℲℲ𝑥⊥ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fal 1482 | . 2 ⊢ ¬ ⊥ | |
2 | 1 | bj-nfnth 31774 | 1 ⊢ ℲℲ𝑥⊥ |
Colors of variables: wff setvar class |
Syntax hints: ⊥wfal 1480 ℲℲwnff 31764 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1713 |
This theorem depends on definitions: df-bi 196 df-or 384 df-tru 1478 df-fal 1481 df-ex 1696 df-bj-nf 31765 |
This theorem is referenced by: (None) |
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