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.negation.distribute_neg_through_binary_sum
2	instantiation	35, 11, 5	⊢
	: , : , :
3	instantiation	35, 11, 6	⊢
	: , : , :
4	instantiation	7, 8	⊢
	:
5	instantiation	35, 15, 9	⊢
	: , : , :
6	instantiation	35, 15, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.negation.double_negation
8	instantiation	35, 11, 12	⊢
	: , : , :
9	instantiation	35, 20, 13	⊢
	: , : , :
10	instantiation	35, 20, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	35, 15, 16	⊢
	: , : , :
13	instantiation	17, 21	⊢
	:
14	instantiation	35, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	35, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.int_closure
18	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	35, 34, 22	⊢
	: , : , :
22	instantiation	23, 24, 25	⊢
	: , :
23	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	instantiation	26, 27, 28	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
27	instantiation	29, 30, 31	⊢
	: , :
28	instantiation	32, 33	⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
30	instantiation	35, 34, 39	⊢
	: , : , :
31	instantiation	35, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
33	instantiation	38, 39	⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
37	instantiation	40, 41	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
39	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
40	theorem		⊢
	proveit.numbers.negation.int_neg_closure
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements