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.strong_bound_via_left_term_bound
2	reference	17	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	reference	19	⊢
5	instantiation	8, 9	⊢
	:
6	instantiation	10, 15	⊢
	:
7	instantiation	11, 12, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
10	theorem		⊢
	proveit.numbers.addition.elim_zero_left
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_4
13	instantiation	14, 15, 16	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.commutation
15	instantiation	27, 18, 17	⊢
	: , : , :
16	instantiation	27, 18, 19	⊢
	: , : , :
17	instantiation	27, 21, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	27, 21, 22	⊢
	: , : , :
20	instantiation	27, 24, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	27, 24, 25	⊢
	: , : , :
23	instantiation	27, 28, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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