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*	, , ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.right_mult_eq_real
2	reference	75	⊢
3	instantiation	76, 62, 7	⊢
	: , : , :
4	instantiation	8, 51, 75, 9	,  ⊢
	: , :
5	instantiation	10, 11	⊢
	: , :
6	instantiation	17, 12, 13	,  ⊢
	: , : , :
7	instantiation	76, 14, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.division.div_real_closure
9	instantiation	16, 81	⊢
	:
10	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
11	assumption		⊢
12	instantiation	17, 18, 19	,  ⊢
	: , : , :
13	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
15	instantiation	24, 25	⊢
	:
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	26, 41, 42, 27, 28	,  ⊢
	: , : , : , : , :
19	instantiation	48, 29, 30	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	58, 31	⊢
	: , : , :
22	instantiation	58, 32	⊢
	: , : , :
23	instantiation	67, 41	⊢
	:
24	theorem		⊢
	proveit.numbers.absolute_value.abs_rational_nonzero_closure
25	instantiation	33, 34, 35	⊢
	:
26	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
27	instantiation	76, 37, 36	⊢
	: , : , :
28	instantiation	76, 37, 38	⊢
	: , : , :
29	instantiation	58, 39	⊢
	: , : , :
30	instantiation	58, 40	⊢
	: , : , :
31	instantiation	60, 41	⊢
	:
32	instantiation	60, 42	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_rational_is_rational_nonzero
34	assumption		⊢
35	instantiation	43, 55, 44	⊢
	: , :
36	instantiation	76, 45, 54	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
38	instantiation	76, 45, 46	⊢
	: , : , :
39	instantiation	58, 47	⊢
	: , : , :
40	instantiation	48, 49, 50	⊢
	: , : , :
41	instantiation	76, 74, 51	⊢
	: , : , :
42	instantiation	76, 74, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
44	instantiation	53, 54, 55	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
46	instantiation	76, 65, 56	⊢
	: , : , :
47	instantiation	57, 68	⊢
	:
48	axiom		⊢
	proveit.logic.equality.equals_transitivity
49	instantiation	58, 59	⊢
	: , : , :
50	instantiation	60, 68	⊢
	:
51	instantiation	79, 80, 61	⊢
	: , : , :
52	instantiation	76, 62, 63	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
54	instantiation	76, 65, 64	⊢
	: , : , :
55	instantiation	76, 65, 66	⊢
	: , : , :
56	instantiation	76, 72, 81	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
58	axiom		⊢
	proveit.logic.equality.substitution
59	instantiation	67, 68	⊢
	:
60	theorem		⊢
	proveit.numbers.division.frac_one_denom
61	assumption		⊢
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
63	instantiation	76, 69, 70	⊢
	: , : , :
64	instantiation	76, 72, 71	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
66	instantiation	76, 72, 73	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
68	instantiation	76, 74, 75	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	instantiation	76, 77, 78	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
75	instantiation	79, 80, 81	⊢
	: , : , :
76	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
79	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
80	instantiation	82, 83	⊢
	: , :
81	assumption		⊢
82	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements