R4C8 is the only square in row 4 that can be <3>

R3C4 is the only square in column 4 that can be <4>

R3C2 can only be <7>

R2C2 can only be <4>

R2C1 can only be <1>

R2C3 can only be <8>

R2C9 can only be <6>

R2C7 can only be <7>

R4C3 is the only square in row 4 that can be <1>

R6C3 is the only square in row 6 that can be <7>

R5C5 is the only square in row 5 that can be <7>

R7C1 is the only square in row 7 that can be <7>

R1C4 is the only square in column 4 that can be <8>

R1C5 is the only square in row 1 that can be <6>

R9C5 can only be <5>

R9C6 is the only square in column 6 that can be <8>

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

Squares R3C5 and R3C6 in row 3 form a simple locked pair. These 2 squares both contain the 2 possibilities <12>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R3C7 - removing <1> from <158> leaving <58>

R3C9 - removing <1> from <1358> leaving <358>

Squares R4C2 and R6C2 in block 4 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.

R4C1 - removing <6> from <256> leaving <25>

R5C1 - removing <6> from <2456> leaving <245>

R5C3 - removing <9> from <2459> leaving <245>

Intersection of row 6 with block 6. The values <45> only appears in one or more of squares R6C7, R6C8 and R6C9 of row 6. These squares are the ones that intersect with block 6. Thus, the other (non-intersecting) squares of block 6 cannot contain these values.

R4C7 - removing <5> from <2569> leaving <269>

R5C7 - removing <45> from <245689> leaving <2689>

R5C9 - removing <45> from <4589> leaving <89>

Intersection of row 8 with block 7. The value <2> only appears in one or more of squares R8C1, R8C2 and R8C3 of row 8. These squares are the ones that intersect with block 7. Thus, the other (non-intersecting) squares of block 7 cannot contain this value.

R7C3 - removing <2> from <249> leaving <49>

Intersection of row 8 with block 9. The value <1> only appears in one or more of squares R8C7, R8C8 and R8C9 of row 8. These squares are the ones that intersect with block 9. Thus, the other (non-intersecting) squares of block 9 cannot contain this value.

R7C9 - removing <1> from <1459> leaving <459>

Intersection of block 8 with row 7. The values <126> only appears in one or more of squares R7C4, R7C5 and R7C6 of block 8. These squares are the ones that intersect with row 7. Thus, the other (non-intersecting) squares of row 7 cannot contain these values.

R7C8 - removing <6> from <56> leaving <5>

R6C8 can only be <6>

R6C2 can only be <9>

R6C6 can only be <2>

R4C2 can only be <6>

R3C6 can only be <1>

R3C5 can only be <2>

R7C6 can only be <6>

R4C4 can only be <5>

R4C1 can only be <2>

R5C4 can only be <6>

R5C6 can only be <9>

R7C4 can only be <2>

R5C9 can only be <8>

R5C7 can only be <2>

R7C5 can only be <1>

R4C7 can only be <9>

R8C1 can only be <6>

R8C7 can only be <1>

R8C9 can only be <9>

R1C7 can only be <5>

R8C3 can only be <2>

R7C9 can only be <4>

R1C3 can only be <3>

R3C7 can only be <8>

R6C7 can only be <4>

R3C9 can only be <3>

R3C1 can only be <5>

R1C9 can only be <1>

R6C9 can only be <5>

R9C7 can only be <6>

R7C3 can only be <9>

R9C3 can only be <4>

R5C1 can only be <4>

R5C3 can only be <5>

R9C1 can only be <3>