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	5, 6, 7	⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	12, 10	⊢
	: , : , :
7	instantiation	23, 11	⊢
	:
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	12, 13	⊢
	: , : , :
11	instantiation	14, 15, 24	⊢
	: , :
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	16, 17, 29, 18, 19*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
15	instantiation	46, 34, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.div_as_mult
17	instantiation	46, 34, 41	⊢
	: , : , :
18	instantiation	21, 22	⊢
	: , :
19	instantiation	23, 24	⊢
	:
20	instantiation	46, 42, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
22	instantiation	26, 38, 33, 27	⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
24	instantiation	28, 29, 30	⊢
	: , :
25	instantiation	46, 44, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
27	instantiation	32, 38, 41, 39	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
29	instantiation	46, 34, 33	⊢
	: , : , :
30	instantiation	46, 34, 35	⊢
	: , : , :
31	instantiation	46, 47, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
33	instantiation	37, 38, 41, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	40, 41	⊢
	:
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
39	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
40	theorem		⊢
	proveit.numbers.negation.real_closure
41	instantiation	46, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	46, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements