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	modus ponens	1, 2	, , , , , , , ⊢
1	instantiation	3, 32, 4, 5, 14, 6, 7	⊢
	: , : , : , : , : , :
2	instantiation	21, 8, 9	, , , , , , , ⊢
	: , : , :
3	theorem		⊢
	proveit.physics.quantum.algebra.qmult_distribution_over_add
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	37	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	10, 40, 41, 11, 12	, , , , , , , ⊢
	: , : , : , :
9	instantiation	31, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
11	instantiation	35, 40, 41, 15	, , , , ⊢
	: , : , :
12	instantiation	16, 17, 18, 19	, , , , ⊢
	: , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
14	instantiation	20	⊢
	: , : , :
15	instantiation	21, 22, 23	, , , , ⊢
	: , : , :
16	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
17	instantiation	24, 46	⊢
	:
18	instantiation	25, 41, 40, 26, 27	, , , ⊢
	: , : , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	theorem		⊢
	proveit.logic.equality.sub_left_side_into
22	instantiation	28, 29, 40, 41, 30	, , , , ⊢
	: , : , : , :
23	instantiation	31, 32, 33	⊢
	: , : , :
24	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
25	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
26	instantiation	44, 46, 45, 34	, , ⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
29	assumption		⊢
30	instantiation	35, 40, 41, 36	, , , ⊢
	: , : , :
31	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	instantiation	37	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
36	instantiation	38, 39, 40, 41, 42	, , , ⊢
	: , : , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
39	assumption		⊢
40	instantiation	43, 46	⊢
	:
41	instantiation	43, 45	⊢
	:
42	instantiation	44, 45, 46, 47	, , ⊢
	: , : , :
43	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
44	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
45	assumption		⊢
46	assumption		⊢
47	assumption		⊢