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.numbers.exponentiation.exponent_log_with_same_base
2	reference	7	⊢
3	instantiation	5, 6, 7	,  ⊢
	: , :
4	instantiation	8, 9	⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
6	instantiation	10, 46, 11	,  ⊢
	:
7	instantiation	54, 12, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
9	instantiation	14, 36, 56, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
11	instantiation	16, 17, 49, 18, 19, 20*, 21*	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
13	instantiation	54, 22, 23	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
15	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
16	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
17	instantiation	24, 49	⊢
	:
18	instantiation	25, 46, 49	⊢
	: , :
19	instantiation	26, 49, 46, 27, 28	,  ⊢
	: , : , :
20	instantiation	29, 45, 42	⊢
	: , :
21	instantiation	30, 31, 32	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
26	theorem		⊢
	proveit.numbers.ordering.less_add_right
27	assumption		⊢
28	instantiation	33, 56	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	34, 35, 56, 36, 37, 38, 41, 45, 39	⊢
	: , : , : , : , : , :
32	instantiation	40, 45, 41, 42	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
34	theorem		⊢
	proveit.numbers.addition.disassociation
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	43	⊢
	: , :
39	instantiation	44, 45	⊢
	:
40	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
41	instantiation	54, 48, 46	⊢
	: , : , :
42	instantiation	47	⊢
	:
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	theorem		⊢
	proveit.numbers.negation.complex_closure
45	instantiation	54, 48, 49	⊢
	: , : , :
46	assumption		⊢
47	axiom		⊢
	proveit.logic.equality.equals_reflexivity
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	54, 50, 51	⊢
	: , : , :
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