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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	9, 4, 5, 46, 6, 7, 8	, , , , , , ⊢
	: , : , : , : , :
3	instantiation	9, 10, 44, 43, 11, 12	, , , , , , ⊢
	: , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	13	⊢
	: , : , : , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	31, 14, 15	, , , , , ⊢
	: , : , :
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_pulling_scalar_out_front
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	instantiation	54	⊢
	: , :
12	instantiation	31, 16, 17	, , , , , ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
14	instantiation	20, 38, 39, 18, 22	, , , , , ⊢
	: , : , : , :
15	instantiation	41, 23, 19	⊢
	: , : , :
16	instantiation	20, 38, 39, 21, 22	, , , , , ⊢
	: , : , : , :
17	instantiation	41, 23, 24	⊢
	: , : , :
18	instantiation	26, 38, 39, 25	, , , , ⊢
	: , : , :
19	instantiation	28	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
21	instantiation	26, 38, 39, 27	, , , , ⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	instantiation	28	⊢
	: , : , :
25	instantiation	31, 29, 30	, , , , ⊢
	: , : , :
26	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
27	instantiation	31, 32, 33	, , , , ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
29	instantiation	36, 34, 38, 39, 40	, , , , ⊢
	: , : , : , :
30	instantiation	41, 42, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.equality.sub_left_side_into
32	instantiation	36, 37, 38, 39, 40	, , , , ⊢
	: , : , : , :
33	instantiation	41, 42, 43	⊢
	: , : , :
34	instantiation	45, 48, 47, 44	, ⊢
	: , : , :
35	instantiation	54	⊢
	: , :
36	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
37	instantiation	45, 46, 47, 48	, ⊢
	: , : , :
38	instantiation	49, 52	⊢
	:
39	instantiation	49, 51	⊢
	:
40	instantiation	50, 51, 52, 53	, , ⊢
	: , : , :
41	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	instantiation	54	⊢
	: , :
44	assumption		⊢
45	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
46	assumption		⊢
47	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
48	assumption		⊢
49	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
50	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
51	assumption		⊢
52	assumption		⊢
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq