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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 27, 30, 5, 6	, , ⊢
	: , : , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
4	assumption		⊢
5	instantiation	7, 27, 25	, ⊢
	: , :
6	instantiation	8, 9	, ⊢
	: , :
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	theorem		⊢
	proveit.logic.equality.equals_reversal
9	instantiation	10, 11, 12	, ⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	13, 14, 15, 16, 17, 18, 21, 22, 19	, ⊢
	: , : , : , : , : , :
12	instantiation	20, 21, 22, 23	, ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	24	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	35, 26, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
21	instantiation	35, 26, 30	⊢
	: , : , :
22	instantiation	35, 26, 27	⊢
	: , : , :
23	instantiation	28	⊢
	:
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	instantiation	29, 30	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	35, 31, 32	⊢
	: , : , :
28	axiom		⊢
	proveit.logic.equality.equals_reflexivity
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	instantiation	35, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	assumption		⊢