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	⊢
	:
1	axiom		⊢
	proveit.logic.booleans.eq_true_intro
2	instantiation	3, 4	⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
4	instantiation	5, 34, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
7	instantiation	8, 25, 9, 27, 10, 11^, 12^	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	13, 14	⊢
	:
11	instantiation	17, 15, 16	⊢
	: , : , :
12	instantiation	17, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	instantiation	20, 23	⊢
	:
16	instantiation	22, 23, 21	⊢
	: , :
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
19	instantiation	22, 23, 24	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.elim_zero_right
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
22	theorem		⊢
	proveit.numbers.addition.commutation
23	instantiation	35, 26, 25	⊢
	: , : , :
24	instantiation	35, 26, 27	⊢
	: , : , :
25	instantiation	35, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	35, 29, 30	⊢
	: , : , :
28	instantiation	35, 32, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	35, 32, 33	⊢
	: , : , :
31	instantiation	35, 36, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	35, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements