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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, , , ,  ⊢  
  : , : , :
1reference15  ⊢  
2reference9  ⊢  
3reference23  ⊢  
4instantiation5, 6, 7, , , ,  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
6instantiation8, 9, 26, 23, 10, 11, , , ,  ⊢  
  : , : , : , : , :
7instantiation12, 13, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_op_is_op
9instantiation28, 18  ⊢  
  :
10instantiation15, 26, 23, 16, ,  ⊢  
  : , : , :
11instantiation17, 29, 18, 19, ,  ⊢  
  : , : , :
12axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
14instantiation20  ⊢  
  : , :
15theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
16instantiation21, 22, 26, 23, 24, ,  ⊢  
  : , : , : , :
17theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
18assumption  ⊢  
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_complex_closure
22assumption  ⊢  
23theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
24instantiation25, 26, 27,  ⊢  
  : , :
25theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_bra_is_linmap
26instantiation28, 29  ⊢  
  :
27assumption  ⊢  
28theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
29assumption  ⊢