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, 4, 5, 6^, 7^	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	reference	27	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	32, 28, 8	⊢
	: , : , :
5	instantiation	9, 25	⊢
	:
6	instantiation	10, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
8	instantiation	32, 30, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	18, 20	⊢
	:
12	instantiation	19, 20, 21	⊢
	: , :
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
15	instantiation	22	⊢
	:
16	instantiation	23, 24	⊢
	: , :
17	instantiation	32, 33, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.elim_zero_right
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	32, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
22	axiom		⊢
	proveit.logic.equality.equals_reflexivity
23	theorem		⊢
	proveit.logic.equality.equals_reversal
24	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	32, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	32, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements