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, 12, 13, 10	, ⊢
	: , : , : , : , : , :
3	instantiation	11, 12, 13, 14	, ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	instantiation	15	⊢
	: , :
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	26, 17, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
12	instantiation	26, 17, 21	⊢
	: , : , :
13	instantiation	26, 17, 18	⊢
	: , : , :
14	instantiation	19	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	20, 21	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	26, 22, 23	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	theorem		⊢
	proveit.numbers.negation.real_closure
21	instantiation	26, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	assumption		⊢