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