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	18, 9, 10	, , , , , ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
9	instantiation	11, 32, 33, 12, 13	, , , , , ⊢
	: , : , : , :
10	instantiation	24, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
12	instantiation	27, 32, 33, 16	, , , , ⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
15	instantiation	17	⊢
	: , : , :
16	instantiation	18, 19, 20	, , , , ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.logic.equality.sub_left_side_into
19	instantiation	21, 22, 32, 33, 23	, , , , ⊢
	: , : , : , :
20	instantiation	24, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
22	assumption		⊢
23	instantiation	27, 32, 33, 28	, , , ⊢
	: , : , :
24	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	instantiation	29	⊢
	: , :
27	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
28	instantiation	30, 31, 32, 33, 34	, , , ⊢
	: , : , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
31	assumption		⊢
32	instantiation	35, 38	⊢
	:
33	instantiation	35, 37	⊢
	:
34	instantiation	36, 37, 38, 39	, , ⊢
	: , : , :
35	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
36	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
37	assumption		⊢
38	assumption		⊢
39	assumption		⊢