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.elim_one_any
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	38, 16, 9	⊢
	: , : , :
7	instantiation	10, 11, 12	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	38, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
11	instantiation	38, 16, 15	⊢
	: , : , :
12	instantiation	38, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
14	instantiation	18, 19, 20, 21	⊢
	: , :
15	instantiation	22, 23, 26, 24	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	25, 26	⊢
	:
18	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
19	instantiation	38, 28, 27	⊢
	: , : , :
20	instantiation	38, 28, 29	⊢
	: , : , :
21	instantiation	30, 35	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
25	theorem		⊢
	proveit.numbers.negation.real_closure
26	instantiation	38, 31, 32	⊢
	: , : , :
27	instantiation	38, 34, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
29	instantiation	38, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	38, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	38, 39, 40	⊢
	: , : , :
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.nat1