Show the Proof¶
In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
| step type | requirements | statement | ||
|---|---|---|---|---|
| 0 | instantiation | 1, 2, 3 |  ,  ,  ,  ,  ⊢  | |
 :  ,  :  ,  :  | ||||
| 1 | axiom | ⊢  | ||
| proveit.logic.equality.equals_transitivity | ||||
| 2 | instantiation | 4, 5 | , , ⊢  | |
 :  , :  , :  | ||||
| 3 | instantiation | 6, 7 | , , , , ⊢  | |
| : , : | ||||
| 4 | axiom | ⊢  | ||
| proveit.logic.equality.substitution | ||||
| 5 | instantiation | 8, 10, 17 | , , ⊢  | |
 :  ,  : | ||||
| 6 | theorem | ⊢  | ||
| proveit.logic.equality.equals_reversal | ||||
| 7 | instantiation | 9, 17, 10, 11, 12 | , , , , ⊢  | |
: , : , :  | ||||
| 8 | theorem | ⊢  | ||
| proveit.numbers.multiplication.commutation | ||||
| 9 | theorem | ⊢  | ||
| proveit.numbers.division.mult_frac_left | ||||
| 10 | instantiation | 13, 14, 15, 16, 17, 18 | , , ⊢  | |
 :  , :  | ||||
| 11 | assumption | ⊢ | ||
| 12 | assumption | ⊢ | ||
| 13 | theorem | ⊢  | ||
| proveit.numbers.addition.add_complex_closure | ||||
| 14 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.nat3 | ||||
| 15 | instantiation | 19 | ⊢  | |
: , : ,  : | ||||
| 16 | assumption | ⊢ | ||
| 17 | assumption | ⊢ | ||
| 18 | assumption | ⊢ | ||
| 19 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.tuple_len_3_typical_eq | ||||