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^*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.linear_algebra.addition.vec_sum_split_first
2	reference	30	⊢
3	instantiation	31, 32, 6	⊢
	: , : , :
4	instantiation	7, 26, 8, 9, 10, 11^, 12^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
7	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
9	instantiation	31, 27, 13	⊢
	: , : , :
10	instantiation	14, 15	⊢
	:
11	instantiation	16, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_1
13	instantiation	31, 29, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat7
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	instantiation	20, 22	⊢
	:
18	instantiation	21, 22, 23	⊢
	: , :
19	instantiation	31, 32, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.elim_zero_right
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	31, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	31, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	31, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements