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	4, 5, 6, 7, 8, 9, 10	, , ⊢
	: , : , : , :
3	instantiation	11, 12, 13, 14	, ⊢
	: , : , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	15	⊢
	: , : , :
7	instantiation	15	⊢
	: , : , :
8	instantiation	19, 16	⊢
	:
9	instantiation	17, 18	⊢
	:
10	instantiation	19, 20	⊢
	:
11	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
13	instantiation	27, 22, 21	⊢
	: , : , :
14	instantiation	27, 22, 23	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	25, 24	⊢
	: , :
17	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
20	instantiation	25, 26	⊢
	: , :
21	instantiation	27, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	27, 28, 31	⊢
	: , : , :
24	instantiation	30, 29	⊢
	:
25	theorem		⊢
	proveit.numbers.ordering.relax_less
26	instantiation	30, 31	⊢
	:
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
31	assumption		⊢