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