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.logic.equality.sub_right_side_into
2	instantiation	8, 9, 4	⊢
	: , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	8, 17, 18	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	10, 46, 49, 11, 14, 12, 9, 17, 18	⊢
	: , : , : , : , : , :
7	instantiation	10, 11, 49, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
9	instantiation	47, 21, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	20	⊢
	: , :
14	instantiation	20	⊢
	: , :
15	instantiation	47, 21, 36	⊢
	: , : , :
16	instantiation	47, 21, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
18	instantiation	47, 21, 22	⊢
	: , : , :
19	instantiation	23, 36, 24	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	25, 26, 31, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
24	instantiation	47, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
26	instantiation	30, 31	⊢
	:
27	instantiation	32, 33	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
30	theorem		⊢
	proveit.numbers.negation.real_closure
31	instantiation	34, 35, 36, 37	⊢
	: , :
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.division.div_real_closure
35	instantiation	47, 39, 38	⊢
	: , : , :
36	instantiation	47, 39, 40	⊢
	: , : , :
37	instantiation	41, 42	⊢
	:
38	instantiation	47, 44, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	47, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	instantiation	47, 48, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	47, 48, 49	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2