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	22	⊢
3	instantiation	27, 23, 5	⊢
	: , : , :
4	instantiation	6, 22, 7, 8, 9^, 10^	⊢
	: , : , :
5	instantiation	27, 25, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	instantiation	12, 29	⊢
	:
9	instantiation	13, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_4
11	instantiation	27, 28, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	17, 19	⊢
	:
15	instantiation	18, 19, 20	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
17	theorem		⊢
	proveit.numbers.addition.elim_zero_right
18	theorem		⊢
	proveit.numbers.addition.commutation
19	instantiation	27, 21, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	27, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	27, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements