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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 typerequirementsstatement
0instantiation1, 2, 3, 4, 5, , , , ,  ⊢  
  : , : , : , :
1reference23  ⊢  
2assumption  ⊢  
3reference11  ⊢  
4reference25  ⊢  
5instantiation17, 11, 25, 6, , , ,  ⊢  
  : , : , :
6instantiation7, 8, 9, , , ,  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
8instantiation10, 11, 28, 25, 12, 13, , , ,  ⊢  
  : , : , : , : , :
9instantiation14, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_op_is_op
11instantiation30, 20  ⊢  
  :
12instantiation17, 28, 25, 18, ,  ⊢  
  : , : , :
13instantiation19, 31, 20, 21, ,  ⊢  
  : , : , :
14axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
15theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
16instantiation22  ⊢  
  : , :
17theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
18instantiation23, 24, 28, 25, 26, ,  ⊢  
  : , : , : , :
19theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
20assumption  ⊢  
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_complex_closure
24assumption  ⊢  
25theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
26instantiation27, 28, 29,  ⊢  
  : , :
27theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_bra_is_linmap
28instantiation30, 31  ⊢  
  :
29assumption  ⊢  
30theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
31assumption  ⊢