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, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	43	⊢
3	reference	46	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	44, 22, 33	⊢
	: , : , :
8	instantiation	44, 22, 11	⊢
	: , : , :
9	instantiation	44, 22, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	13, 14, 15	⊢
	: , : , :
12	instantiation	44, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
14	instantiation	18, 19	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
17	instantiation	20, 21	⊢
	:
18	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
20	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
21	instantiation	44, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	24, 25, 28, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
25	instantiation	27, 28	⊢
	:
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	instantiation	31, 32, 33, 34	⊢
	: , :
29	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.division.div_real_closure
32	instantiation	44, 36, 35	⊢
	: , : , :
33	instantiation	44, 36, 37	⊢
	: , : , :
34	instantiation	38, 39	⊢
	:
35	instantiation	44, 41, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	44, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
40	instantiation	44, 45, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	44, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2