Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > altru | Structured version Visualization version GIF version |
Description: For all sets, ⊤ is true. (Contributed by Anthony Hart, 13-Sep-2011.) |
Ref | Expression |
---|---|
altru | ⊢ ∀𝑥⊤ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1543 | . 2 ⊢ ⊤ | |
2 | 1 | ax-gen 1799 | 1 ⊢ ∀𝑥⊤ |
Colors of variables: wff setvar class |
Syntax hints: ∀wal 1537 ⊤wtru 1540 |
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 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |