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	6, 24, 33, 55, 25, 7, 11, 37, 5	⊢
	: , : , : , : , : , :
3	instantiation	6, 33, 24, 7, 8, 25, 11, 37, 12, 27	⊢
	: , : , : , : , : , :
4	instantiation	9, 55, 33, 10, 11, 37, 12, 27, 13*	⊢
	: , : , : , : , : , :
5	instantiation	53, 40, 14	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	instantiation	34	⊢
	: , :
8	instantiation	34	⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.association
10	instantiation	34	⊢
	: , :
11	instantiation	53, 40, 15	⊢
	: , : , :
12	instantiation	53, 40, 20	⊢
	: , : , :
13	instantiation	16, 17, 18*	⊢
	: , :
14	instantiation	19, 20, 46	⊢
	: , :
15	instantiation	30, 21, 22	⊢
	: , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	23, 24, 33, 55, 25, 26, 27, 28, 37, 29*	⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
19	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
20	instantiation	30, 35, 41	⊢
	: , :
21	instantiation	53, 49, 31	⊢
	: , : , :
22	instantiation	32, 41, 33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	34	⊢
	: , :
27	instantiation	53, 40, 46	⊢
	: , : , :
28	instantiation	53, 40, 35	⊢
	: , : , :
29	instantiation	36, 37	⊢
	:
30	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
31	instantiation	53, 51, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	53, 49, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
37	instantiation	53, 40, 41	⊢
	: , : , :
38	instantiation	53, 54, 42	⊢
	: , : , :
39	instantiation	53, 51, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	44, 45, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
43	instantiation	53, 54, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
46	instantiation	53, 49, 50	⊢
	: , : , :
47	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	53, 51, 52	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	53, 54, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements