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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, 6, , , , , ,  ⊢  
  : , : , : , : , :
1theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_pulling_scalar_out_front
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
4assumption  ⊢  
5reference13  ⊢  
6instantiation17, 7, 8, , , , ,  ⊢  
  : , : , :
7instantiation9, 22, 23, 10, 11, , , , ,  ⊢  
  : , : , : , :
8instantiation25, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
10instantiation14, 22, 23, 15, , , ,  ⊢  
  : , : , :
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
13instantiation16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
15instantiation17, 18, 19, , , ,  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
18instantiation20, 21, 22, 23, 24, , , ,  ⊢  
  : , : , : , :
19instantiation25, 26, 27  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_op_closure
21instantiation28, 29, 30, 31,  ⊢  
  : , : , :
22instantiation32, 35  ⊢  
  :
23instantiation32, 34  ⊢  
  :
24instantiation33, 34, 35, 36, ,  ⊢  
  : , : , :
25axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
26theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
27instantiation37  ⊢  
  : , :
28theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_ket_closure
29assumption  ⊢  
30theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
31assumption  ⊢  
32theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
33theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
34assumption  ⊢  
35assumption  ⊢  
36assumption  ⊢  
37theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq