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	40	⊢
3	reference	43	⊢
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	41, 19, 30	⊢
	: , : , :
8	instantiation	41, 19, 11	⊢
	: , : , :
9	instantiation	41, 19, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	41, 13, 14	⊢
	: , : , :
12	instantiation	41, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
16	instantiation	17, 18	⊢
	:
17	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
18	instantiation	41, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	21, 22, 25, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
22	instantiation	24, 25	⊢
	:
23	instantiation	26, 27	⊢
	:
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	instantiation	28, 29, 30, 31	⊢
	: , :
26	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.division.div_real_closure
29	instantiation	41, 33, 32	⊢
	: , : , :
30	instantiation	41, 33, 34	⊢
	: , : , :
31	instantiation	35, 36	⊢
	:
32	instantiation	41, 38, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	41, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	instantiation	41, 42, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	41, 42, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2