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	20	⊢
4	reference	35	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	33, 13, 11	⊢
	: , : , :
8	instantiation	33, 13, 12	⊢
	: , : , :
9	instantiation	33, 13, 27	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	33, 29, 14	⊢
	: , : , :
12	instantiation	15, 27, 22, 16	⊢
	: , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	33, 31, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.div_real_closure
16	instantiation	18, 19	⊢
	: , :
17	instantiation	33, 34, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
19	instantiation	21, 26, 22, 23	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
22	instantiation	24, 26, 27, 28	⊢
	: , : , :
23	instantiation	25, 26, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
27	instantiation	33, 29, 30	⊢
	: , : , :
28	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1