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.logic.equality.four_chain_transitivity
2	instantiation	28, 5, 6	⊢
	: , : , :
3	instantiation	27	⊢
	:
4	instantiation	7, 11	⊢
	: , :
5	instantiation	33, 8	⊢
	: , : , :
6	instantiation	28, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	33, 11	⊢
	: , : , :
9	instantiation	12, 13, 80, 14, 15, 16, 19, 17, 20	⊢
	: , : , : , : , : , :
10	instantiation	18, 19, 20, 21	⊢
	: , : , :
11	instantiation	22, 36, 51, 55, 23*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.disassociation
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	instantiation	24	⊢
	: , :
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	78, 58, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
19	instantiation	78, 58, 31	⊢
	: , : , :
20	instantiation	78, 58, 26	⊢
	: , : , :
21	instantiation	27	⊢
	:
22	theorem		⊢
	proveit.numbers.division.div_as_mult
23	instantiation	28, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	instantiation	46, 31	⊢
	:
26	instantiation	32, 45, 54	⊢
	: , :
27	axiom		⊢
	proveit.logic.equality.equals_reflexivity
28	axiom		⊢
	proveit.logic.equality.equals_transitivity
29	instantiation	33, 34	⊢
	: , : , :
30	instantiation	35, 36, 37	⊢
	: , :
31	instantiation	38, 39, 40, 41	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
33	axiom		⊢
	proveit.logic.equality.substitution
34	instantiation	42, 43, 75, 44*	⊢
	: , :
35	theorem		⊢
	proveit.numbers.multiplication.commutation
36	instantiation	78, 58, 54	⊢
	: , : , :
37	instantiation	78, 58, 45	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
39	instantiation	46, 47	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
43	instantiation	78, 48, 49	⊢
	: , : , :
44	instantiation	50, 51	⊢
	:
45	instantiation	78, 67, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.real_closure
47	instantiation	53, 54, 59, 55	⊢
	: , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
49	instantiation	78, 56, 57	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
51	instantiation	78, 58, 59	⊢
	: , : , :
52	instantiation	78, 60, 61	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.division.div_real_closure
54	instantiation	78, 62, 63	⊢
	: , : , :
55	instantiation	64, 77	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
57	instantiation	78, 65, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
59	instantiation	78, 67, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
61	instantiation	69, 70, 71	⊢
	: , :
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
64	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
66	instantiation	78, 72, 77	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
68	instantiation	78, 73, 74	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
70	instantiation	78, 76, 75	⊢
	: , : , :
71	instantiation	78, 76, 77	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	instantiation	78, 79, 80	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
77	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
78	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements