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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, , , ,  ⊢  
  : , :
1theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_left_closure
2instantiation4, 5, 6, , , ,  ⊢  
  : , : , :
3instantiation7, 23, 24,  ⊢  
  : , :
4theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
5instantiation8, 18, 19, 9, 10, , , ,  ⊢  
  : , : , : , :
6instantiation11, 12, 13  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_bra_in_QmultCodomain
8theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_is_ket
9instantiation14, 18, 19, 15, , ,  ⊢  
  : , : , :
10assumption  ⊢  
11axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
13instantiation16  ⊢  
  : , :
14theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
15instantiation17, 18, 23, 19, 20, 21, , ,  ⊢  
  : , : , : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_op_is_op
18instantiation28, 26  ⊢  
  :
19theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
20instantiation22, 23, 24,  ⊢  
  : , :
21instantiation25, 29, 26, 27, ,  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_bra_is_linmap
23instantiation28, 29  ⊢  
  :
24assumption  ⊢  
25theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
26assumption  ⊢  
27assumption  ⊢  
28theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
29assumption  ⊢