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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.booleans.conjunction.conjunction_from_quantification
2	reference	35	⊢
3	instantiation	36, 37, 5	⊢
	: , : , :
4	instantiation	6, 31, 7, 8, 9, 10^, 11^	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
6	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	instantiation	36, 32, 12	⊢
	: , : , :
9	instantiation	13, 29	⊢
	:
10	instantiation	14, 15, 16	⊢
	: , : , :
11	instantiation	17, 18, 19, 20	⊢
	: , : , : , :
12	instantiation	36, 34, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
14	theorem		⊢
	proveit.logic.equality.sub_right_side_into
15	instantiation	22, 24	⊢
	:
16	instantiation	23, 24, 25	⊢
	: , :
17	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
19	instantiation	26	⊢
	:
20	instantiation	27, 28	⊢
	: , :
21	instantiation	36, 37, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.elim_zero_right
23	theorem		⊢
	proveit.numbers.addition.commutation
24	instantiation	36, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
26	axiom		⊢
	proveit.logic.equality.equals_reflexivity
27	theorem		⊢
	proveit.logic.equality.equals_reversal
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	36, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements