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.weak_bound_via_left_term_bound
2	reference	20	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	25, 21, 8	⊢
	: , : , :
5	instantiation	9, 18	⊢
	:
6	instantiation	10, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
8	instantiation	25, 23, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	14, 16	⊢
	:
12	instantiation	15, 16, 17	⊢
	: , :
13	instantiation	25, 26, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.elim_zero_right
15	theorem		⊢
	proveit.numbers.addition.commutation
16	instantiation	25, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	25, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	25, 23, 24	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements