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, 5, 6, 7*, 8*	, , , , , ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.div_eq_real
2	reference	68	⊢
3	instantiation	10, 9, 14	, , ,  ⊢
	: , : , :
4	instantiation	10, 11, 15	, , ,  ⊢
	: , : , :
5	instantiation	12, 68, 41, 49, 13, 14*, 15*	, , , , ,  ⊢
	: , : , :
6	reference	46	⊢
7	instantiation	42, 16, 17	, , , ,  ⊢
	: , : , :
8	instantiation	42, 18, 19	, , , ,  ⊢
	: , : , :
9	instantiation	65, 41, 68	, , ,  ⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	65, 49, 68	, , ,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.right_mult_eq_real
13	instantiation	20, 69, 66, 71, 21	, , , ,  ⊢
	: , : , :
14	instantiation	22, 57, 56, 55, 59, 51, 61, 52, 60	, , ,  ⊢
	: , : , : , : , : , :
15	instantiation	22, 57, 56, 55, 59, 58, 61, 62, 60	, , ,  ⊢
	: , : , : , : , : , :
16	instantiation	42, 23, 24	, , , ,  ⊢
	: , : , :
17	instantiation	27, 31	, ,  ⊢
	:
18	instantiation	42, 25, 26	, , , ,  ⊢
	: , : , :
19	instantiation	27, 37	, ,  ⊢
	:
20	theorem		⊢
	proveit.numbers.multiplication.left_mult_eq_real
21	instantiation	28, 77, 74, 76, 29	, , ,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.disassociation
23	instantiation	32, 30	, , ,  ⊢
	: , : , :
24	instantiation	34, 35, 36, 31, 38*	, , , ,  ⊢
	: , : , :
25	instantiation	32, 33	, , ,  ⊢
	: , : , :
26	instantiation	34, 35, 36, 37, 38*	, , , ,  ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.division.frac_one_denom
28	theorem		⊢
	proveit.numbers.addition.right_add_eq_real
29	assumption		⊢
30	instantiation	42, 39, 40	, , ,  ⊢
	: , : , :
31	instantiation	78, 70, 41	, ,  ⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.substitution
33	instantiation	42, 43, 44	, , ,  ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.division.frac_cancel_left
35	instantiation	45, 60, 46	,  ⊢
	:
36	instantiation	78, 47, 48	⊢
	: , : , :
37	instantiation	78, 70, 49	, ,  ⊢
	: , : , :
38	instantiation	50, 60	⊢
	:
39	instantiation	53, 57, 56, 59, 51, 61, 52, 60	, , ,  ⊢
	: , : , : , : , : , : , :
40	instantiation	54, 55, 56, 57, 51, 59, 60, 61, 52	, , ,  ⊢
	: , : , : , : , : , :
41	instantiation	65, 69, 66	, ,  ⊢
	: , :
42	axiom		⊢
	proveit.logic.equality.equals_transitivity
43	instantiation	53, 57, 56, 59, 58, 61, 62, 60	, , ,  ⊢
	: , : , : , : , : , : , :
44	instantiation	54, 55, 56, 57, 58, 59, 60, 61, 62	, , ,  ⊢
	: , : , : , : , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
48	instantiation	78, 63, 64	⊢
	: , : , :
49	instantiation	65, 69, 71	, ,  ⊢
	: , :
50	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
51	instantiation	67	⊢
	: , :
52	instantiation	78, 70, 66	,  ⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
54	theorem		⊢
	proveit.numbers.multiplication.association
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
58	instantiation	67	⊢
	: , :
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	instantiation	78, 70, 68	⊢
	: , : , :
61	instantiation	78, 70, 69	⊢
	: , : , :
62	instantiation	78, 70, 71	,  ⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
64	instantiation	78, 72, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
66	instantiation	75, 74, 77	,  ⊢
	: , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
68	assumption		⊢
69	assumption		⊢
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	75, 76, 77	,  ⊢
	: , :
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
73	instantiation	78, 79, 80	⊢
	: , : , :
74	assumption		⊢
75	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
76	assumption		⊢
77	assumption		⊢
78	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements