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.addition.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	21	⊢
4	reference	36	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	instantiation	34, 13, 12	⊢
	: , : , :
8	instantiation	34, 13, 28	⊢
	: , : , :
9	instantiation	34, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	34, 30, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	16, 28, 23, 17	⊢
	: , :
15	instantiation	34, 32, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.div_real_closure
17	instantiation	19, 20	⊢
	: , :
18	instantiation	34, 35, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
20	instantiation	22, 27, 23, 24	⊢
	: , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
23	instantiation	25, 27, 28, 29	⊢
	: , : , :
24	instantiation	26, 27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
28	instantiation	34, 30, 31	⊢
	: , : , :
29	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	34, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements