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.addition.weak_bound_via_left_term_bound
2	instantiation	8, 28	⊢
	:
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	reference	22	⊢
5	instantiation	9, 34	⊢
	:
6	instantiation	10, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 24, 15, 16	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	17, 19	⊢
	:
12	instantiation	18, 19, 20	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
14	instantiation	37, 27, 21	⊢
	: , : , :
15	instantiation	37, 27, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
17	theorem		⊢
	proveit.numbers.addition.elim_zero_right
18	theorem		⊢
	proveit.numbers.addition.commutation
19	instantiation	23, 24	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
21	instantiation	37, 31, 25	⊢
	: , : , :
22	instantiation	37, 31, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	37, 27, 28	⊢
	: , : , :
25	instantiation	37, 35, 29	⊢
	: , : , :
26	instantiation	37, 35, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	37, 31, 32	⊢
	: , : , :
29	instantiation	37, 38, 33	⊢
	: , : , :
30	instantiation	37, 38, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	37, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements