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, 6, 7, 8, 9, 10, 11, 12, 13, 14*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	49	⊢
4	reference	61	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	15	⊢
	: , :
7	instantiation	16	⊢
	: , : , : , :
8	reference	36	⊢
9	instantiation	17, 36, 19	⊢
	: , :
10	instantiation	17, 18, 19	⊢
	: , :
11	reference	18	⊢
12	instantiation	59, 44, 20	⊢
	: , : , :
13	instantiation	21, 22, 23, 24	⊢
	: , :
14	instantiation	25, 36, 26, 40, 27*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
17	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
18	instantiation	59, 44, 28	⊢
	: , : , :
19	instantiation	59, 44, 29	⊢
	: , : , :
20	instantiation	59, 52, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.division.div_complex_closure
22	instantiation	59, 44, 31	⊢
	: , : , :
23	instantiation	59, 44, 32	⊢
	: , : , :
24	instantiation	33, 34	⊢
	:
25	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
27	instantiation	35, 36	⊢
	:
28	instantiation	59, 52, 37	⊢
	: , : , :
29	instantiation	38, 39, 40	⊢
	: , : , :
30	instantiation	59, 57, 41	⊢
	: , : , :
31	instantiation	59, 52, 42	⊢
	: , : , :
32	instantiation	59, 52, 43	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
35	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
36	instantiation	59, 44, 45	⊢
	: , : , :
37	instantiation	59, 57, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
39	instantiation	47, 48	⊢
	: , :
40	assumption		⊢
41	instantiation	59, 60, 49	⊢
	: , : , :
42	instantiation	59, 57, 50	⊢
	: , : , :
43	instantiation	59, 57, 51	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
45	instantiation	59, 52, 53	⊢
	: , : , :
46	instantiation	59, 60, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	instantiation	59, 60, 55	⊢
	: , : , :
51	instantiation	59, 60, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	59, 57, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	59, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
*equality replacement requirements