Typing:
propositional
symbol  type comment
/\
\/
¬!
FFF
TTT
UUU
-->
<->
&&&&short-circuit and
||||short-circuit or
->>Łukasiewicz implication (not yet implemented)
**is defined (not yet implemented)
quantifiers
symboltype
x:AA x:
x; 0 ≤ x < y:     AA x; 0 <= x < y:
x:EE x:
x; x + 2 ≠ z: EE x; x+2 != z:

(Between ; and :, not all operators are available)
reasoning
symbol  type comment
==>
<==
<=>unifies U and F
===does not unify U and F
A global assumption (i.e., axiom) may be added to the front, e.g.: assume x > 3 \/ x = y;
compare
symboltype
<<
<=
==
!=
>=
>>
arithmetic
symboltype
++
-
3y3y
y ⋅ 3y*3
|2x − 5||2x-5|
x + 1
6
(x+1)/6
2
3
4
2 3/4
x div 3y div 3
x mod 3x mod 3
(3 + 4)(x + 5) div (1+2)     (3+4)(x+5) div (1+2)

Two Logic Modes

or
Presburger on ℕ first order on ℝ show thinking time