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, 14, 15, 5, 6	, , , , , ⊢
	: , : , : , :
3	instantiation	7, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
5	instantiation	10, 14, 15, 11	, , , , ⊢
	: , : , :
6	assumption		⊢
7	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
9	instantiation	12	⊢
	: , :
10	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
11	instantiation	13, 14, 19, 15, 16, 17	, , , , ⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
14	instantiation	23, 31	⊢
	:
15	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
16	instantiation	18, 19, 20	, ⊢
	: , :
17	instantiation	21, 30, 31, 22	, , , ⊢
	: , : , :
18	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
19	instantiation	23, 30	⊢
	:
20	assumption		⊢
21	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
22	modus ponens	24, 25	, , , ⊢
23	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
24	instantiation	26, 36, 27, 28	, , ⊢
	: , : , : , : , : , :
25	assumption		⊢
26	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
27	instantiation	29, 30, 31	, ⊢
	: , :
28	instantiation	32, 33	⊢
	: , :
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		⊢