R5C5 can only be <1>

R5C8 can only be <2>

R5C9 can only be <6>

R2C5 can only be <6>

R5C1 can only be <4>

R5C2 can only be <9>

R4C7 is the only square in row 4 that can be <4>

R6C1 is the only square in row 6 that can be <6>

R8C5 is the only square in row 8 that can be <2>

R1C5 can only be <9>

R9C5 can only be <5>

R3C9 is the only square in row 3 that can be <9>

R7C6 is the only square in row 7 that can be <9>

R9C4 is the only square in row 9 that can be <4>

R7C4 can only be <3>

R9C6 can only be <7>

R7C2 is the only square in row 7 that can be <4>

Intersection of column 2 with block 1. The value <8> only appears in one or more of squares R1C2, R2C2 and R3C2 of column 2. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.

R1C3 - removing <8> from <12578> leaving <1257>

R2C3 - removing <8> from <178> leaving <17>

Intersection of column 8 with block 3. The value <8> only appears in one or more of squares R1C8, R2C8 and R3C8 of column 8. These squares are the ones that intersect with block 3. Thus, the other (non-intersecting) squares of block 3 cannot contain this value.

R1C7 - removing <8> from <1358> leaving <135>

R1C9 - removing <8> from <13578> leaving <1357>

R2C7 - removing <8> from <138> leaving <13>

R1C6 is the only square in row 1 that can be <8>

R3C6 can only be <3>

Squares R3C2 and R3C8 in row 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <58>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C1 - removing <5> from <125> leaving <12>

Squares R2C2 and R8C2 in column 2 and R2C8 and R8C8 in column 8 form a Simple X-Wing pattern on possibility <3>. All other instances of this possibility in rows 2 and 8 can be removed.

R2C7 - removing <3> from <13> leaving <1>

R8C7 - removing <3> from <359> leaving <59>

R2C3 can only be <7>

R1C9 is the only square in row 1 that can be <7>

R8C8 is the only square in row 8 that can be <7>

R7C8 can only be <5>

R7C9 can only be <1>

R3C8 can only be <8>

R8C7 can only be <9>

R7C1 can only be <7>

R8C3 can only be <5>

R3C2 can only be <5>

R2C8 can only be <3>

R8C2 can only be <3>

R6C3 can only be <8>

R2C2 can only be <8>

R1C7 can only be <5>

R4C3 can only be <2>

R9C1 can only be <1>

R9C3 can only be <9>

R3C1 can only be <2>

R6C7 can only be <3>

R3C4 can only be <1>

R1C1 can only be <3>

R4C1 can only be <5>

R1C3 can only be <1>

R1C4 can only be <2>

R4C9 can only be <8>

R9C9 can only be <3>

R6C9 can only be <5>

R9C7 can only be <8>