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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	37	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	38, 16, 27	⊢
	: , : , :
6	instantiation	38, 16, 8	⊢
	: , : , :
7	instantiation	38, 16, 9	⊢
	: , : , :
8	instantiation	38, 10, 11	⊢
	: , : , :
9	instantiation	38, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
13	instantiation	14, 15	⊢
	:
14	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
15	instantiation	38, 16, 17	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	18, 19, 22, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
19	instantiation	21, 22	⊢
	:
20	instantiation	23, 24	⊢
	:
21	theorem		⊢
	proveit.numbers.negation.real_closure
22	instantiation	25, 26, 27, 28	⊢
	: , :
23	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.division.div_real_closure
26	instantiation	38, 30, 29	⊢
	: , : , :
27	instantiation	38, 30, 31	⊢
	: , : , :
28	instantiation	32, 33	⊢
	:
29	instantiation	38, 35, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	38, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	instantiation	38, 39, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2