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, 4 |  ,  ,  ,  ,  ⊢  | |
 :  ,  :  ,  :  ,  :  | ||||
| 1 | theorem | ⊢  | ||
| proveit.linear_algebra.addition.binary_closure | ||||
| 2 | instantiation | 5, 13 | ⊢  | |
 : | ||||
| 3 | instantiation | 6, 7, 8, 9, 10 | , , , ⊢  | |
 :  ,  : ,  :  ,  :  | ||||
| 4 | assumption | ⊢ | ||
| 5 | theorem | ⊢  | ||
| proveit.linear_algebra.complex_vec_set_is_vec_space | ||||
| 6 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_op_ket_is_ket | ||||
| 7 | instantiation | 11, 14 | ⊢  | |
:  | ||||
| 8 | instantiation | 11, 13 | ⊢  | |
| : | ||||
| 9 | instantiation | 12, 13, 14, 15 | , , ⊢  | |
: , : ,  : | ||||
| 10 | assumption | ⊢ | ||
| 11 | theorem | ⊢  | ||
| proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space | ||||
| 12 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_matrix_is_linmap | ||||
| 13 | assumption | ⊢ | ||
| 14 | assumption | ⊢ | ||
| 15 | assumption | ⊢ | ||