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