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	, , , , , , , ⊢
	: , : , :
1	reference	39	⊢
2	reference	16	⊢
3	reference	48	⊢
4	instantiation	25, 5, 6	, , , , , , , ⊢
	: , : , :
5	instantiation	30, 7, 16, 48, 8	, , , , , , , ⊢
	: , : , : , :
6	instantiation	33, 9, 10	⊢
	: , : , :
7	assumption		⊢
8	instantiation	39, 16, 48, 11	, , , , , , ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
10	instantiation	12	⊢
	: , : , : , :
11	instantiation	25, 13, 14	, , , , , , ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13	instantiation	15, 16, 54, 48, 17, 18	, , , , , , ⊢
	: , : , : , : , :
14	instantiation	33, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
16	instantiation	56, 43	⊢
	:
17	instantiation	39, 54, 48, 21	, , , ⊢
	: , : , :
18	instantiation	22, 57, 43, 23	, , , ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
20	instantiation	24	⊢
	: , : , :
21	instantiation	25, 26, 27	, , , ⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
23	modus ponens	28, 29	, , , ⊢
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
25	theorem		⊢
	proveit.logic.equality.sub_left_side_into
26	instantiation	30, 31, 54, 48, 32	, , , ⊢
	: , : , : , :
27	instantiation	33, 34, 35	⊢
	: , : , :
28	instantiation	36, 52, 37, 38	, , ⊢
	: , : , : , : , : , :
29	assumption		⊢
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
31	assumption		⊢
32	instantiation	39, 54, 48, 40	, , ⊢
	: , : , :
33	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	instantiation	41	⊢
	: , :
36	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
37	instantiation	42, 57, 43	, ⊢
	: , :
38	instantiation	44, 45	⊢
	: , :
39	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
40	instantiation	46, 47, 54, 48, 49	, , ⊢
	: , : , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
42	theorem		⊢
	proveit.linear_algebra.matrices.complex_matrix_space_is_vec_space
43	assumption		⊢
44	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
45	instantiation	50, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
47	assumption		⊢
48	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
49	instantiation	53, 54, 55	, ⊢
	: , :
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
52	assumption		⊢
53	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
54	instantiation	56, 57	⊢
	:
55	assumption		⊢
56	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
57	assumption		⊢