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 |  ,  ⊢  | |
 :  ,  :  ,  :  | ||||
| 1 | axiom | ⊢  | ||
| proveit.logic.equality.substitution | ||||
| 2 | instantiation | 3, 4 | , ⊢  | |
| : , : | ||||
| 3 | theorem | ⊢  | ||
| proveit.logic.equality.equals_reversal | ||||
| 4 | modus ponens | 5, 6 | , ⊢  | |
| 5 | instantiation | 7, 12, 13, 8 | ⊢  | |
 :  ,  : ,  :  ,  :  ,  :  ,  :  ,  :  | ||||
| 6 | modus ponens | 9, 10 | ⊢  | |
| 7 | theorem | ⊢  | ||
| proveit.linear_algebra.scalar_multiplication.distribution_over_vec_sum | ||||
| 8 | assumption | ⊢ | ||
| 9 | instantiation | 11, 12, 13 | ⊢  | |
| : , : , : , : , : , : | ||||
| 10 | generalization | 14 | ⊢  | |
| 11 | theorem | ⊢  | ||
| proveit.linear_algebra.addition.summation_closure | ||||
| 12 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat1 | ||||
| 13 | instantiation | 15, 16 | ⊢  | |
 :  | ||||
| 14 | assumption | ⊢ | ||
| 15 | theorem | ⊢  | ||
| proveit.linear_algebra.real_vec_set_is_vec_space | ||||
| 16 | theorem | ⊢  | ||
| proveit.numbers.numerals.decimals.posnat3 | ||||