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, 7	, , , , , , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	reference	34	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
5	instantiation	38	⊢
	: , :
6	instantiation	38	⊢
	: , :
7	instantiation	27, 8, 9	, , , , , , ⊢
	: , : , :
8	instantiation	10, 11, 12	, , , , , , ⊢
	: , :
9	instantiation	33, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_right_closure
11	assumption		⊢
12	instantiation	15, 16	, , , , , ⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
14	instantiation	17	⊢
	: , : , : , :
15	theorem		⊢
	proveit.physics.quantum.algebra.qmult_nested_closure
16	instantiation	27, 18, 19	, , , , , ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
18	instantiation	20, 41, 42, 21, 22	, , , , , ⊢
	: , : , : , :
19	instantiation	33, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
21	instantiation	36, 41, 42, 25	, , , , ⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	instantiation	26	⊢
	: , : , :
25	instantiation	27, 28, 29	, , , , ⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27	theorem		⊢
	proveit.logic.equality.sub_left_side_into
28	instantiation	30, 31, 41, 42, 32	, , , , ⊢
	: , : , : , :
29	instantiation	33, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
31	assumption		⊢
32	instantiation	36, 41, 42, 37	, , , ⊢
	: , : , :
33	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	instantiation	38	⊢
	: , :
36	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
37	instantiation	39, 40, 41, 42, 43	, , , ⊢
	: , : , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
40	assumption		⊢
41	instantiation	44, 47	⊢
	:
42	instantiation	44, 46	⊢
	:
43	instantiation	45, 46, 47, 48	, , ⊢
	: , : , :
44	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
45	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
46	assumption		⊢
47	assumption		⊢
48	assumption		⊢