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.real_numbers.in_IntervalOO
2	reference	20	⊢
3	instantiation	48, 44, 6	⊢
	: , : , :
4	reference	41	⊢
5	instantiation	7, 8, 9	⊢
	: , :
6	instantiation	48, 46, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
8	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
9	instantiation	11, 41, 19, 12, 13, 14^, 15^	⊢
	: , : , :
10	instantiation	48, 49, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
12	instantiation	48, 44, 17	⊢
	: , : , :
13	instantiation	18, 19, 20, 41, 21, 22	⊢
	: , : , :
14	instantiation	23, 24, 25	⊢
	: , : , :
15	instantiation	26, 27, 28	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
17	instantiation	48, 46, 29	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.ordering.less_add_right
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
20	instantiation	48, 44, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
22	instantiation	31, 50	⊢
	:
23	theorem		⊢
	proveit.logic.equality.sub_right_side_into
24	instantiation	32, 34	⊢
	:
25	instantiation	33, 34, 35	⊢
	: , :
26	axiom		⊢
	proveit.logic.equality.equals_transitivity
27	instantiation	36, 37	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
29	instantiation	48, 49, 38	⊢
	: , : , :
30	instantiation	48, 46, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
32	theorem		⊢
	proveit.numbers.addition.elim_zero_right
33	theorem		⊢
	proveit.numbers.addition.commutation
34	instantiation	48, 40, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
36	axiom		⊢
	proveit.logic.equality.substitution
37	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
38	instantiation	42, 43, 50	⊢
	: , :
39	instantiation	48, 49, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	48, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	48, 46, 47	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements