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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 41, 44, 6, 9, 7, 4, 12, 13	⊢
	: , : , : , : , : , :
3	instantiation	5, 6, 44, 7, 8, 9, 10, 11, 12, 13	⊢
	: , : , : , : , : , :
4	instantiation	42, 16, 14	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	15	⊢
	: , :
9	instantiation	15	⊢
	: , :
10	instantiation	42, 16, 31	⊢
	: , : , :
11	instantiation	42, 16, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
13	instantiation	42, 16, 17	⊢
	: , : , :
14	instantiation	18, 31, 19	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	20, 21, 26, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
19	instantiation	42, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
21	instantiation	25, 26	⊢
	:
22	instantiation	27, 28	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25	theorem		⊢
	proveit.numbers.negation.real_closure
26	instantiation	29, 30, 31, 32	⊢
	: , :
27	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.division.div_real_closure
30	instantiation	42, 34, 33	⊢
	: , : , :
31	instantiation	42, 34, 35	⊢
	: , : , :
32	instantiation	36, 37	⊢
	:
33	instantiation	42, 39, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	42, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	instantiation	42, 43, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2