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