Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-dvv | Structured version Visualization version GIF version |
Description: A special instance of bj-hbaeb2 35029. A lemma for distinct var metavariables. Note that the right-hand side is a closed formula (a sentence). (Contributed by BJ, 6-Oct-2018.) |
Ref | Expression |
---|---|
bj-dvv | ⊢ (∀𝑥 𝑥 = 𝑦 ↔ ∀𝑥∀𝑦 𝑥 = 𝑦) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-hbaeb2 35029 | 1 ⊢ (∀𝑥 𝑥 = 𝑦 ↔ ∀𝑥∀𝑦 𝑥 = 𝑦) |
Colors of variables: wff setvar class |
Syntax hints: ↔ wb 205 ∀wal 1535 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1793 ax-4 1807 ax-5 1909 ax-6 1967 ax-7 2007 ax-10 2132 ax-12 2166 ax-13 2367 |
This theorem depends on definitions: df-bi 206 df-an 396 df-or 844 df-tru 1540 df-ex 1778 df-nf 1782 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |