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