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