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	5, 6, 20, 7	⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
6	instantiation	64, 57, 11	⊢
	: , : , :
7	instantiation	12, 50, 63, 13*	⊢
	: , : , : , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	14, 15	⊢
	:
11	instantiation	64, 60, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
13	instantiation	34, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.elim_zero_left
15	instantiation	19, 20	⊢
	:
16	instantiation	64, 21, 22	⊢
	: , : , :
17	instantiation	44, 66, 23, 24, 25, 26	⊢
	: , : , : , :
18	instantiation	27, 28, 29	⊢
	:
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	64, 57, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
22	instantiation	31, 32, 33	⊢
	: , :
23	instantiation	51	⊢
	: , :
24	instantiation	51	⊢
	: , :
25	instantiation	34, 35, 36	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
27	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
28	instantiation	64, 57, 37	⊢
	: , : , :
29	instantiation	38, 39	⊢
	:
30	instantiation	64, 60, 40	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
32	instantiation	64, 42, 41	⊢
	: , : , :
33	instantiation	64, 42, 43	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.equals_transitivity
35	instantiation	44, 66, 45, 46, 47, 48	⊢
	: , : , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
37	instantiation	64, 60, 49	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
40	instantiation	64, 62, 50	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
44	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
45	instantiation	51	⊢
	: , :
46	instantiation	51	⊢
	: , :
47	instantiation	52, 54	⊢
	:
48	instantiation	53, 54	⊢
	:
49	instantiation	64, 62, 55	⊢
	: , : , :
50	instantiation	64, 65, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
52	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
53	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
54	instantiation	64, 57, 58	⊢
	: , : , :
55	instantiation	64, 65, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	64, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	64, 62, 63	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	instantiation	64, 65, 66	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements