Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	, ⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
2	instantiation	39, 4, 5	⊢
	: , : , :
3	instantiation	6, 7	, ⊢
	: , :
4	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
5	instantiation	8, 9, 10	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
7	instantiation	11, 12, 27, 13	, ⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	14, 15, 16, 17	⊢
	: , : , :
10	instantiation	18, 19	⊢
	:
11	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
12	instantiation	20, 21, 38, 22	⊢
	: , : , : , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	instantiation	39, 24, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	instantiation	39, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	39, 26, 34	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	39, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	39, 28, 29	⊢
	: , : , :
28	instantiation	30, 31, 36	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
31	instantiation	32, 33, 34	⊢
	: , :
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	35, 36	⊢
	:
34	instantiation	39, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos