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 type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6	, , , , , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
5	instantiation	28	⊢
	: , :
6	instantiation	17, 7, 8	, , , , , ⊢
	: , : , :
7	instantiation	9, 10, 11	, , , , , ⊢
	: , :
8	instantiation	23, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_right_closure
10	assumption		⊢
11	instantiation	14, 15	, , , , ⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
13	instantiation	16	⊢
	: , : , :
14	theorem		⊢
	proveit.physics.quantum.algebra.qmult_nested_closure
15	instantiation	17, 18, 19	, , , , ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.logic.equality.sub_left_side_into
18	instantiation	20, 31, 32, 21, 22	, , , , ⊢
	: , : , : , :
19	instantiation	23, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
21	instantiation	26, 31, 32, 27	, , , ⊢
	: , : , :
22	assumption		⊢
23	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
25	instantiation	28	⊢
	: , :
26	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
27	instantiation	29, 30, 31, 32, 33	, , , ⊢
	: , : , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
30	assumption		⊢
31	instantiation	34, 37	⊢
	:
32	instantiation	34, 36	⊢
	:
33	instantiation	35, 36, 37, 38	, , ⊢
	: , : , :
34	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
35	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
36	assumption		⊢
37	assumption		⊢
38	assumption		⊢