Show the Proof

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

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.physics.quantum.QFT.invFT_on_matrix_elem
2	reference	71	⊢
3	reference	57	⊢
4	reference	55	⊢
5	instantiation	6, 7, 8, 9	,  ⊢
	: , :
6	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
7	instantiation	21, 10, 11	,  ⊢
	: , : , :
8	instantiation	72, 44, 12	⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	instantiation	37, 24, 15	,  ⊢
	: , :
11	instantiation	16, 17, 18	,  ⊢
	: , : , :
12	instantiation	72, 50, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	instantiation	20, 69, 66	⊢
	: , :
15	instantiation	21, 22, 23	,  ⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	29, 74, 25, 30, 27, 31, 24, 38, 39, 33	,  ⊢
	: , : , : , : , : , :
18	instantiation	29, 30, 69, 25, 31, 26, 27, 34, 35, 38, 39, 33	,  ⊢
	: , : , : , : , : , :
19	instantiation	72, 53, 62	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	37, 28, 33	,  ⊢
	: , :
23	instantiation	29, 30, 69, 74, 31, 32, 38, 39, 33	,  ⊢
	: , : , : , : , : , :
24	instantiation	37, 34, 35	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	instantiation	40	⊢
	: , :
27	instantiation	36	⊢
	: , : , :
28	instantiation	37, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.numbers.multiplication.disassociation
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	40	⊢
	: , :
33	instantiation	72, 44, 41	⊢
	: , : , :
34	instantiation	72, 44, 42	⊢
	: , : , :
35	instantiation	72, 44, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
39	instantiation	72, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	instantiation	72, 50, 46	⊢
	: , : , :
42	instantiation	72, 50, 47	⊢
	: , : , :
43	instantiation	72, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	72, 50, 51	⊢
	: , : , :
46	instantiation	72, 53, 52	⊢
	: , : , :
47	instantiation	72, 53, 65	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	72, 53, 54	⊢
	: , : , :
52	instantiation	72, 56, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	72, 56, 57	⊢
	: , : , :
55	assumption		⊢
56	instantiation	58, 59, 60	⊢
	: , :
57	assumption		⊢
58	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
59	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
60	instantiation	61, 62, 63	⊢
	: , :
61	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
62	instantiation	64, 65, 66	⊢
	: , :
63	instantiation	67, 68	⊢
	:
64	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
65	instantiation	72, 73, 69	⊢
	: , : , :
66	instantiation	72, 70, 71	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.negation.int_closure
68	instantiation	72, 73, 74	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
70	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
71	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements