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