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	theorem		⊢
	proveit.numbers.ordering.relax_less
2	instantiation	3, 22, 4, 5, 6, 7^, 8^	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
5	instantiation	27, 23, 9	⊢
	: , : , :
6	instantiation	10, 11	⊢
	:
7	instantiation	12, 13, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_5
9	instantiation	27, 25, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	16, 18	⊢
	:
14	instantiation	17, 18, 19	⊢
	: , :
15	instantiation	27, 28, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.elim_zero_right
17	theorem		⊢
	proveit.numbers.addition.commutation
18	instantiation	27, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
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.nat5
^*equality replacement requirements