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