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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, , , , ,  ⊢  
  : , : , :
1reference12  ⊢  
2instantiation4, 5, 6, , , , ,  ⊢  
  : , :
3instantiation18, 7, 8  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_right_closure
5assumption  ⊢  
6instantiation9, 10, , , ,  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
8instantiation11  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_nested_closure
10instantiation12, 13, 14, , , ,  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
13instantiation15, 26, 27, 16, 17, , , ,  ⊢  
  : , : , : , :
14instantiation18, 19, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
16instantiation21, 26, 27, 22, , ,  ⊢  
  : , : , :
17assumption  ⊢  
18axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
19theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
20instantiation23  ⊢  
  : , :
21theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
22instantiation24, 25, 26, 27, 28, , ,  ⊢  
  : , : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_op_closure
25assumption  ⊢  
26instantiation29, 32  ⊢  
  :
27instantiation29, 31  ⊢  
  :
28instantiation30, 31, 32, 33, ,  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
30theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
31assumption  ⊢  
32assumption  ⊢  
33assumption  ⊢