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*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.weak_div_from_numer_bound__pos_denom
2	reference	37	⊢
3	instantiation	65, 48, 8	,  ⊢
	: , : , :
4	instantiation	65, 48, 9	⊢
	: , : , :
5	instantiation	10, 31, 32, 23	,  ⊢
	: , : , :
6	instantiation	11, 53	⊢
	:
7	instantiation	12, 13, 14	,  ⊢
	: , : , :
8	instantiation	65, 56, 15	,  ⊢
	: , : , :
9	instantiation	65, 56, 32	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	16, 17, 18, 21, 19*	,  ⊢
	: , : , :
14	instantiation	20, 21	⊢
	:
15	instantiation	65, 22, 23	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.frac_cancel_left
17	instantiation	65, 25, 24	⊢
	: , : , :
18	instantiation	65, 25, 26	⊢
	: , : , :
19	instantiation	27, 28	⊢
	:
20	theorem		⊢
	proveit.numbers.division.frac_one_denom
21	instantiation	65, 36, 29	⊢
	: , : , :
22	instantiation	30, 31, 32	⊢
	: , :
23	instantiation	38, 58, 42	⊢
	: , : , : , : , :
24	instantiation	65, 34, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
26	instantiation	65, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
28	instantiation	65, 36, 37	⊢
	: , : , :
29	instantiation	38, 39, 64, 40, 41, 42	⊢
	: , : , : , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
31	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
32	instantiation	43, 57, 44	⊢
	: , :
33	instantiation	65, 46, 45	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
35	instantiation	65, 46, 47	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	65, 48, 49	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
39	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	50	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	51, 52	⊢
	:
45	instantiation	65, 54, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
47	instantiation	65, 54, 55	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	65, 56, 57	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	theorem		⊢
	proveit.numbers.negation.int_closure
52	instantiation	65, 63, 58	⊢
	: , : , :
53	instantiation	59, 64, 62	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	60, 61, 62	⊢
	: , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
60	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
61	instantiation	65, 63, 64	⊢
	: , : , :
62	instantiation	65, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
67	assumption		⊢
*equality replacement requirements