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, 5 |  ,  ,  ,  ,  ⊢  | |
 :  ,  :  ,  :  ,  :  | ||||
| 1 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_op_ket_is_ket | ||||
| 2 | reference | 9 | ⊢  | |
| 3 | reference | 10 | ⊢  | |
| 4 | instantiation | 6, 9, 10, 7 | , , , ⊢  | |
| : , : , : | ||||
| 5 | assumption | ⊢ | ||
| 6 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_op_is_linmap | ||||
| 7 | instantiation | 8, 9, 14, 10, 11, 12 | , , , ⊢  | |
: , :  ,  : , :  ,  : | ||||
| 8 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_op_op_is_op | ||||
| 9 | instantiation | 19, 17 | ⊢ | |
 :  | ||||
| 10 | theorem | ⊢ | ||
| proveit.linear_algebra.inner_products.complex_set_is_hilbert_space | ||||
| 11 | instantiation | 13, 14, 15 | , ⊢  | |
: ,  : | ||||
| 12 | instantiation | 16, 20, 17, 18 | , , ⊢  | |
: , : ,  : | ||||
| 13 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_bra_is_linmap | ||||
| 14 | instantiation | 19, 20 | ⊢  | |
| : | ||||
| 15 | assumption | ⊢ | ||
| 16 | theorem | ⊢  | ||
| proveit.physics.quantum.algebra.qmult_matrix_is_linmap | ||||
| 17 | assumption | ⊢ | ||
| 18 | assumption | ⊢ | ||
| 19 | theorem | ⊢  | ||
| proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space | ||||
| 20 | assumption | ⊢ | ||