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	, ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5	, ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7, 8, 9, 10, 11, 14, 15, 12	, ⊢
	: , : , : , : , : , :
5	instantiation	13, 14, 15, 16	, ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	17	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	28, 19, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
14	instantiation	28, 19, 23	⊢
	: , : , :
15	instantiation	28, 19, 20	⊢
	: , : , :
16	instantiation	21	⊢
	:
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	28, 24, 25	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_reflexivity
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	28, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	assumption		⊢