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	⊢
	:
1	theorem		⊢
	proveit.numbers.addition.elim_zero_left
2	instantiation	3, 4	⊢
	:
3	theorem		⊢
	proveit.numbers.negation.complex_closure
4	instantiation	5, 6, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	44, 18, 8	⊢
	: , : , :
7	instantiation	9, 10, 46, 43, 11, 12, 13, 14, 15	⊢
	: , : , : , : , : , :
8	instantiation	20, 16, 19	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.disassociation
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	17	⊢
	: , :
13	instantiation	44, 18, 33	⊢
	: , : , :
14	instantiation	44, 18, 21	⊢
	: , : , :
15	instantiation	44, 18, 19	⊢
	: , : , :
16	instantiation	20, 33, 21	⊢
	: , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	22, 23, 28, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
21	instantiation	44, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
23	instantiation	27, 28	⊢
	:
24	instantiation	29, 30	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	instantiation	31, 32, 33, 34	⊢
	: , :
29	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.division.div_real_closure
32	instantiation	44, 36, 35	⊢
	: , : , :
33	instantiation	44, 36, 37	⊢
	: , : , :
34	instantiation	38, 39	⊢
	:
35	instantiation	44, 41, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	44, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
40	instantiation	44, 45, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	44, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2