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*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.product_of_pos_powers
2	reference	48	⊢
3	instantiation	5, 6, 7, 8	⊢
	: , :
4	instantiation	33, 9, 10	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
6	instantiation	57, 12, 11	⊢
	: , : , :
7	instantiation	57, 12, 13	⊢
	: , : , :
8	instantiation	37, 19	⊢
	:
9	instantiation	14, 15	⊢
	: , : , :
10	instantiation	16, 48	⊢
	:
11	instantiation	57, 18, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
13	instantiation	57, 18, 19	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.substitution
15	instantiation	20, 21, 56, 22*	⊢
	: , : , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
21	instantiation	57, 58, 23	⊢
	: , : , :
22	instantiation	33, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	instantiation	39, 59, 26, 27, 28, 29	⊢
	: , : , : , :
25	instantiation	30, 31, 32	⊢
	:
26	instantiation	45	⊢
	: , :
27	instantiation	45	⊢
	: , :
28	instantiation	33, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
30	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
31	instantiation	57, 50, 36	⊢
	: , : , :
32	instantiation	37, 38	⊢
	:
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	39, 59, 40, 41, 42, 43	⊢
	: , : , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
36	instantiation	57, 53, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
39	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
40	instantiation	45	⊢
	: , :
41	instantiation	45	⊢
	: , :
42	instantiation	46, 48	⊢
	:
43	instantiation	47, 48	⊢
	:
44	instantiation	57, 55, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
47	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
48	instantiation	57, 50, 51	⊢
	: , : , :
49	instantiation	57, 58, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	57, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	57, 55, 56	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	57, 58, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements