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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, 5, , , , ,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
2reference13  ⊢  
3reference14  ⊢  
4instantiation6, 13, 14, 7, , , ,  ⊢  
  : , : , :
5assumption  ⊢  
6theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
7instantiation8, 9, 10, , , ,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
9instantiation11, 12, 13, 14, 15, , , ,  ⊢  
  : , : , : , :
10instantiation16, 17, 18  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_op_closure
12instantiation19, 20, 21, 22,  ⊢  
  : , : , :
13instantiation23, 26  ⊢  
  :
14instantiation23, 25  ⊢  
  :
15instantiation24, 25, 26, 27, ,  ⊢  
  : , : , :
16axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
17theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
18instantiation28  ⊢  
  : , :
19theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_ket_closure
20assumption  ⊢  
21theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
22assumption  ⊢  
23theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
24theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
25assumption  ⊢  
26assumption  ⊢  
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq