R7C7 can only be <1>

R4C4 is the only square in row 4 that can be <5>

R4C9 is the only square in row 4 that can be <7>

R5C5 is the only square in row 5 that can be <2>

R6C2 is the only square in row 6 that can be <2>

R6C4 is the only square in row 6 that can be <3>

R7C9 is the only square in row 7 that can be <2>

R2C9 can only be <5>

R1C3 is the only square in row 1 that can be <5>

R2C8 is the only square in row 2 that can be <2>

R7C5 is the only square in row 7 that can be <5>

R8C8 is the only square in row 8 that can be <5>

R9C6 is the only square in row 9 that can be <2>

R9C4 is the only square in row 9 that can be <8>

R2C6 is the only square in column 6 that can be <8>

R6C8 is the only square in column 8 that can be <8>

Squares R4C6 and R6C6 in column 6 form a simple locked pair. These 2 squares both contain the 2 possibilities <14>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R1C6 - removing <14> from <1479> leaving <79>

Squares R7C1 and R7C3 in block 7 form a simple locked pair. These 2 squares both contain the 2 possibilities <69>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.

R8C1 - removing <69> from <34679> leaving <347>

R8C2 - removing <9> from <3479> leaving <347>

R9C3 - removing <6> from <16> leaving <1>

R7C3 is the only square in column 3 that can be <6>

R7C1 can only be <9>

Intersection of row 2 with block 1. The value <7> only appears in one or more of squares R2C1, R2C2 and R2C3 of row 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C2 - removing <7> from <1379> leaving <139>

R3C1 - removing <7> from <378> leaving <38>

Squares R1C2 and R1C7 in row 1 and R9C2 and R9C7 in row 9 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in columns 2 and 7 can be removed.

R3C7 - removing <3> from <3479> leaving <479>

R8C2 - removing <3> from <347> leaving <47>

Squares R3C3 and R3C7 in row 3 and R5C3 and R5C7 in row 5 form a Simple X-Wing pattern on possibility <9>. All other instances of this possibility in columns 3 and 7 can be removed.

R1C7 - removing <9> from <3479> leaving <347>

Squares R1C6 (XY), R3C5 (XZ) and R1C8 (YZ) form an XY-Wing pattern on <4>. All squares that are buddies of both the XZ and YZ squares cannot be <4>.

R1C5 - removing <4> from <467> leaving <67>

R3C7 - removing <4> from <479> leaving <79>

R3C9 - removing <4> from <34> leaving <3>

R3C1 can only be <8>

R3C3 can only be <9>

R3C7 can only be <7>

R5C3 can only be <8>

R3C5 can only be <4>

R1C7 can only be <4>

R1C8 can only be <9>

R5C7 can only be <9>

R9C7 can only be <3>

R1C6 can only be <7>

R1C5 can only be <6>

R8C6 can only be <9>

R8C4 can only be <6>

R1C4 can only be <1>

R9C5 can only be <7>

R8C9 can only be <4>

R8C2 can only be <7>

R5C9 can only be <1>

R9C8 can only be <6>

R9C2 can only be <4>

R4C8 can only be <4>

R1C2 can only be <3>

R2C4 can only be <9>

R4C6 can only be <1>

R5C1 can only be <4>

R6C9 can only be <6>

R8C1 can only be <3>

R2C2 can only be <1>

R2C1 can only be <7>

R4C2 can only be <9>

R4C1 can only be <6>

R6C6 can only be <4>

R6C1 can only be <1>