This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: Apply a choice equivalent. (Contributed by Mario Carneiro, 17-May-2015)
|
|
Ref |
Expression |
|
Hypothesis |
axaci.1 |
⊢ ( CHOICE ↔ ∀ 𝑥 𝜑 ) |
|
Assertion |
axaci |
⊢ 𝜑 |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
axaci.1 |
⊢ ( CHOICE ↔ ∀ 𝑥 𝜑 ) |
| 2 |
|
axac3 |
⊢ CHOICE |
| 3 |
2 1
|
mpbi |
⊢ ∀ 𝑥 𝜑 |
| 4 |
3
|
spi |
⊢ 𝜑 |