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.exponentiation.exp_monotonicity_large_base_less_eq
2	reference	16	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	30, 20, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
6	instantiation	9, 10	⊢
	: , :
7	instantiation	11, 12	⊢
	:
8	instantiation	30, 26, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
10	instantiation	14, 23	⊢
	:
11	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
12	instantiation	30, 15, 16	⊢
	: , : , :
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	30, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
18	instantiation	30, 22, 23	⊢
	: , : , :
19	instantiation	30, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	30, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
23	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
24	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
25	instantiation	28, 29	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	30, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.int_neg_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements