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, 6, 7	, , , , , , ⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_pulling_scalar_out_front
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	assumption		⊢
5	instantiation	8	⊢
	: , : , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	19, 9, 10	, , , , , ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
9	instantiation	11, 24, 25, 12, 13	, , , , , ⊢
	: , : , : , :
10	instantiation	27, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
12	instantiation	16, 24, 25, 17	, , , , ⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
15	instantiation	18	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
17	instantiation	19, 20, 21	, , , , ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	theorem		⊢
	proveit.logic.equality.sub_left_side_into
20	instantiation	22, 23, 24, 25, 26	, , , , ⊢
	: , : , : , :
21	instantiation	27, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
23	instantiation	30, 31, 32, 33	, ⊢
	: , : , :
24	instantiation	34, 37	⊢
	:
25	instantiation	34, 36	⊢
	:
26	instantiation	35, 36, 37, 38	, , ⊢
	: , : , :
27	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	instantiation	39	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
31	assumption		⊢
32	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
33	assumption		⊢
34	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
35	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
36	assumption		⊢
37	assumption		⊢
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq