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