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.addition.disassociation
2	reference	54	⊢
3	reference	32	⊢
4	reference	15	⊢
5	instantiation	22	⊢
	: , :
6	reference	16	⊢
7	instantiation	10, 11, 12	⊢
	: , : , :
8	instantiation	52, 24, 28	⊢
	: , : , :
9	instantiation	52, 24, 46	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	19, 13, 18	⊢
	: , :
12	instantiation	14, 15, 32, 54, 16, 17, 20, 21, 18	⊢
	: , : , : , : , : , :
13	instantiation	19, 20, 21	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	22	⊢
	: , :
18	instantiation	52, 24, 39	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
20	instantiation	52, 24, 23	⊢
	: , : , :
21	instantiation	52, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	52, 48, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	27, 28, 46	⊢
	: , :
26	instantiation	52, 50, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
28	instantiation	52, 30, 31	⊢
	: , : , :
29	instantiation	52, 53, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
31	instantiation	33, 34, 35	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
34	instantiation	52, 36, 37	⊢
	: , : , :
35	instantiation	38, 39, 40	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
37	instantiation	52, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
39	instantiation	43, 45, 46, 47	⊢
	: , : , :
40	instantiation	44, 45, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
46	instantiation	52, 48, 49	⊢
	: , : , :
47	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	52, 50, 51	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1