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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7, 18, 8, 9, 10*, 11*	⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.commutation
5	instantiation	53, 40, 12	⊢
	: , : , :
6	instantiation	53, 40, 13	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.prod_of_fracs
8	instantiation	53, 15, 14	⊢
	: , : , :
9	instantiation	53, 15, 16	⊢
	: , : , :
10	instantiation	17, 18	⊢
	:
11	instantiation	19, 32, 20, 21, 22*	⊢
	: , : , :
12	instantiation	25, 30, 23, 24	⊢
	: , :
13	instantiation	25, 30, 41, 26	⊢
	: , :
14	instantiation	53, 28, 27	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
16	instantiation	53, 28, 29	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
18	instantiation	53, 40, 30	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
21	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
22	instantiation	31, 32	⊢
	:
23	instantiation	33, 34, 46	⊢
	: , : , :
24	instantiation	35, 46	⊢
	:
25	theorem		⊢
	proveit.numbers.division.div_real_closure
26	instantiation	35, 44	⊢
	:
27	instantiation	53, 37, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
29	instantiation	53, 37, 38	⊢
	: , : , :
30	instantiation	53, 48, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
32	instantiation	53, 40, 41	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	42, 43	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
36	instantiation	53, 45, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
38	instantiation	53, 45, 46	⊢
	: , : , :
39	instantiation	53, 51, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	53, 48, 49	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
46	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
47	instantiation	53, 54, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	53, 51, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	53, 54, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements