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