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	20, 5	⊢
	: , : , :
3	instantiation	20, 6	⊢
	: , : , :
4	instantiation	22, 7	⊢
	: , :
5	instantiation	10, 8, 9	⊢
	: , : , :
6	instantiation	10, 11, 12	⊢
	: , : , :
7	instantiation	13, 56, 51, 14, 15, 16, 17, 26, 30	⊢
	: , : , : , : , : , :
8	instantiation	20, 18	⊢
	: , : , :
9	instantiation	22, 19	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	20, 21	⊢
	: , : , :
12	instantiation	22, 23	⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
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	25, 29, 30, 31	⊢
	: , :
18	instantiation	27, 26, 29	⊢
	: , :
19	instantiation	28, 29, 26, 30, 31	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.substitution
21	instantiation	27, 30, 29	⊢
	: , :
22	theorem		⊢
	proveit.logic.equality.equals_reversal
23	instantiation	28, 29, 30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.division.div_complex_closure
26	instantiation	54, 34, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.commutation
28	theorem		⊢
	proveit.numbers.division.mult_frac_left
29	instantiation	54, 34, 33	⊢
	: , : , :
30	instantiation	54, 34, 35	⊢
	: , : , :
31	instantiation	36, 37	⊢
	:
32	instantiation	38, 39, 53	⊢
	: , : , :
33	instantiation	54, 41, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	54, 41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
39	instantiation	43, 44	⊢
	: , :
40	instantiation	54, 46, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	54, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
45	instantiation	48, 49, 50	⊢
	: , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	54, 55, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
49	instantiation	54, 52, 53	⊢
	: , : , :
50	instantiation	54, 55, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
53	assumption		⊢
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.nat1