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