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