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