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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
4	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
5	instantiation	6, 31, 7, 8	⊢
	: , :
6	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
8	instantiation	9, 24, 10, 11, 12^, 13^	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
11	instantiation	14, 15	⊢
	:
12	instantiation	16, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	instantiation	19, 21	⊢
	:
18	instantiation	20, 21, 22	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.elim_zero_right
20	theorem		⊢
	proveit.numbers.addition.commutation
21	instantiation	29, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	29, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements