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	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	10, 5, 6, 38, 7, 8, 9	, , , , , ⊢
	: , : , : , : , :
3	instantiation	10, 11, 14, 36, 16, 12	, , , , , ⊢
	: , : , : , : , :
4	instantiation	13, 30, 14, 15, 36, 38, 16, 17	, , , , , ⊢
	: , : , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	18	⊢
	: , : , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	21, 19, 20	, , , , ⊢
	: , : , :
10	theorem		⊢
	proveit.physics.quantum.algebra.qmult_pulling_scalar_out_front
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	instantiation	21, 22, 23	, , , , ⊢
	: , : , :
13	theorem		⊢
	proveit.physics.quantum.algebra.qmult_scalar_association
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	instantiation	35	⊢
	: , :
16	instantiation	35	⊢
	: , :
17	instantiation	26, 39, 40, 41, 28	, , , ⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	instantiation	26, 39, 40, 24, 28	, , , , ⊢
	: , : , : , :
20	instantiation	29, 30, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.sub_left_side_into
22	instantiation	26, 39, 40, 27, 28	, , , , ⊢
	: , : , : , :
23	instantiation	29, 30, 31	⊢
	: , : , :
24	instantiation	33, 39, 40, 32	, , , ⊢
	: , : , :
25	instantiation	35	⊢
	: , :
26	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
27	instantiation	33, 39, 40, 34	, , , ⊢
	: , : , :
28	assumption		⊢
29	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	instantiation	35	⊢
	: , :
32	instantiation	37, 36, 39, 40, 41	, , , ⊢
	: , : , : , :
33	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
34	instantiation	37, 38, 39, 40, 41	, , , ⊢
	: , : , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	assumption		⊢
37	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
38	assumption		⊢
39	instantiation	42, 45	⊢
	:
40	instantiation	42, 44	⊢
	:
41	instantiation	43, 44, 45, 46	, , ⊢
	: , : , :
42	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
43	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
44	assumption		⊢
45	assumption		⊢
46	assumption		⊢