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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, 26, 23, 6, , , ,  ⊢  
  : , : , : , :
3instantiation18, 7, 8  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_complex_closure
5assumption  ⊢  
6instantiation9, 26, 23, 10, , ,  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
8instantiation11  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
10instantiation12, 13, 14, , ,  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
13instantiation15, 16, 26, 23, 17, , ,  ⊢  
  : , : , : , :
14instantiation18, 19, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_op_closure
16instantiation21, 22, 23, 24,  ⊢  
  : , : , :
17instantiation25, 26, 27,  ⊢  
  : , :
18axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
19theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
20instantiation28  ⊢  
  : , :
21theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_ket_closure
22assumption  ⊢  
23theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
24assumption  ⊢  
25theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_bra_is_linmap
26instantiation29, 30  ⊢  
  :
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
30assumption  ⊢