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, 4, 5, 6, 7^, 8^	⊢
	: , :
1	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	9	⊢
	: , : , :
4	instantiation	42, 11, 31	⊢
	: , : , :
5	instantiation	42, 11, 10	⊢
	: , : , :
6	instantiation	42, 11, 12	⊢
	: , : , :
7	instantiation	14, 13	⊢
	:
8	instantiation	14, 15	⊢
	:
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	instantiation	42, 16, 28	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	17, 18, 24, 19	⊢
	: , : , :
13	instantiation	20, 44	⊢
	:
14	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
15	instantiation	21, 22	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
18	instantiation	23, 24	⊢
	:
19	instantiation	25, 26	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
21	theorem		⊢
	proveit.numbers.ordering.relax_less
22	instantiation	27, 28	⊢
	:
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	instantiation	29, 30, 31, 32	⊢
	: , :
25	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
29	theorem		⊢
	proveit.numbers.division.div_real_closure
30	instantiation	42, 34, 33	⊢
	: , : , :
31	instantiation	42, 34, 35	⊢
	: , : , :
32	instantiation	36, 37	⊢
	:
33	instantiation	42, 39, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	42, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	instantiation	42, 43, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements