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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	6, 7, 10, 4, 12, 5, 14, 15, 16, 13	, , , ⊢
	: , : , : , : , : , : , : , : , :
3	instantiation	6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16	, , , ⊢
	: , : , : , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	instantiation	17	⊢
	: , : , :
6	theorem		⊢
	proveit.linear_algebra.addition.leftward_permutation
7	instantiation	18, 27	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	19	⊢
	: , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	23, 24, 20	⊢
	: , : , :
14	instantiation	23, 24, 21	⊢
	: , : , :
15	instantiation	23, 24, 22	⊢
	: , : , :
16	instantiation	23, 24, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	assumption		⊢
21	assumption		⊢
22	assumption		⊢
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	26, 27, 28	⊢
	: , : , :
25	assumption		⊢
26	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
28	instantiation	29, 30	⊢
	: , :
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex