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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.number_sets.integers.int_not_in_interval
2	reference	26	⊢
3	reference	19	⊢
4	reference	37	⊢
5	instantiation	6, 7, 8	⊢
	: , :
6	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_left
7	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
8	instantiation	9, 33, 10, 11	⊢
	: , :
9	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
10	instantiation	38, 34, 12	⊢
	: , : , :
11	instantiation	13, 33, 14, 15, 16, 17^, 18^	⊢
	: , : , :
12	instantiation	38, 36, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	38, 34, 20	⊢
	: , : , :
16	instantiation	21, 31	⊢
	:
17	instantiation	22, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_3
19	instantiation	38, 39, 25	⊢
	: , : , :
20	instantiation	38, 36, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
22	theorem		⊢
	proveit.logic.equality.sub_right_side_into
23	instantiation	27, 29	⊢
	:
24	instantiation	28, 29, 30	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
26	instantiation	38, 39, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.elim_zero_right
28	theorem		⊢
	proveit.numbers.addition.commutation
29	instantiation	38, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	38, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	38, 36, 37	⊢
	: , : , :
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.nat3
^*equality replacement requirements