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	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	23	⊢
4	reference	51	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	49, 13, 11	⊢
	: , : , :
8	instantiation	49, 13, 12	⊢
	: , : , :
9	instantiation	49, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	49, 45, 15	⊢
	: , : , :
12	instantiation	49, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	18, 43	⊢
	:
15	instantiation	49, 47, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
17	instantiation	20, 21, 29, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	instantiation	49, 50, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
21	instantiation	49, 33, 24	⊢
	: , : , :
22	instantiation	25, 26	⊢
	:
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	instantiation	49, 38, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
26	instantiation	49, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
29	instantiation	30, 31, 32	⊢
	: , :
30	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
31	instantiation	49, 33, 34	⊢
	: , : , :
32	instantiation	35, 36, 37	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
34	instantiation	49, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
36	instantiation	40, 42, 43, 44	⊢
	: , : , :
37	instantiation	41, 42, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
43	instantiation	49, 45, 46	⊢
	: , : , :
44	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	49, 47, 48	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1