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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, , , , ,  ⊢  
  : , : , :
1reference10  ⊢  
2instantiation26, 4, 14, 28, 5, , , , ,  ⊢  
  : , : , : , :
3instantiation17, 6, 7  ⊢  
  : , : , :
4assumption  ⊢  
5instantiation20, 14, 28, 8, , , ,  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
7instantiation9  ⊢  
  : , : , :
8instantiation10, 11, 12, , , ,  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
11instantiation13, 14, 31, 28, 15, 16, , , ,  ⊢  
  : , : , : , : , :
12instantiation17, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_op_is_op
14instantiation33, 23  ⊢  
  :
15instantiation20, 31, 28, 21, ,  ⊢  
  : , : , :
16instantiation22, 34, 23, 24, ,  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
18theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
19instantiation25  ⊢  
  : , :
20theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
21instantiation26, 27, 31, 28, 29, ,  ⊢  
  : , : , : , :
22theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
23assumption  ⊢  
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_complex_closure
27assumption  ⊢  
28theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
29instantiation30, 31, 32,  ⊢  
  : , :
30theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_bra_is_linmap
31instantiation33, 34  ⊢  
  :
32assumption  ⊢  
33theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
34assumption  ⊢