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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
2	reference	6	⊢
3	reference	33	⊢
4	instantiation	5, 6, 7, 21, 8, 9^, 10^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
6	instantiation	11, 31	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	instantiation	12, 34	⊢
	:
9	instantiation	22, 13, 14	⊢
	: , : , :
10	instantiation	15, 29, 28, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.negation.real_closure
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
13	instantiation	18, 19	⊢
	:
14	instantiation	27, 19, 20	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
16	instantiation	42, 32, 21	⊢
	: , : , :
17	instantiation	22, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.elim_zero_right
19	instantiation	25, 28	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
21	instantiation	42, 36, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.equality.sub_right_side_into
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
24	instantiation	27, 28, 29	⊢
	: , :
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	instantiation	42, 39, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.commutation
28	instantiation	42, 32, 31	⊢
	: , : , :
29	instantiation	42, 32, 33	⊢
	: , : , :
30	instantiation	42, 43, 34	⊢
	: , : , :
31	instantiation	42, 36, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	42, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
35	instantiation	42, 39, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	42, 39, 40	⊢
	: , : , :
38	instantiation	42, 43, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements