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Mirrors > Home > QLE Home > Th. List > wr4 | GIF version |
Description: Weak R4. (Contributed by NM, 2-Sep-1997.) |
Ref | Expression |
---|---|
wr4.1 | (a ≡ b) = 1 |
Ref | Expression |
---|---|
wr4 | (a⊥ ≡ b⊥ ) = 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | conb 122 | . . 3 (a ≡ b) = (a⊥ ≡ b⊥ ) | |
2 | 1 | ax-r1 35 | . 2 (a⊥ ≡ b⊥ ) = (a ≡ b) |
3 | wr4.1 | . 2 (a ≡ b) = 1 | |
4 | 2, 3 | ax-r2 36 | 1 (a⊥ ≡ b⊥ ) = 1 |
Colors of variables: term |
Syntax hints: = wb 1 ⊥ wn 4 ≡ tb 5 1wt 8 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 |
This theorem depends on definitions: df-b 39 df-a 40 |
This theorem is referenced by: wran 369 wr2 371 wcomlem 382 wcbtr 411 wcomdr 421 wfh2 424 wfh3 425 wfh4 426 woml7 437 |
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