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.booleans.conjunction.and_if_both
2	instantiation	4, 29, 5, 6, 7, 8^, 9^	⊢
	: , : , :
3	instantiation	10, 11, 12	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
6	instantiation	35, 31, 13	⊢
	: , : , :
7	instantiation	14, 15	⊢
	:
8	instantiation	16, 17, 18	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
10	theorem		⊢
	proveit.numbers.ordering.relax_equal_to_less_eq
11	instantiation	35, 31, 19	⊢
	: , : , :
12	instantiation	20	⊢
	:
13	instantiation	35, 33, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	instantiation	22, 24	⊢
	:
18	instantiation	23, 24, 25	⊢
	: , :
19	instantiation	35, 33, 26	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	instantiation	35, 36, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.elim_zero_right
23	theorem		⊢
	proveit.numbers.addition.commutation
24	instantiation	35, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
26	instantiation	35, 36, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	35, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
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.nat1
^*equality replacement requirements