Rows meet columns.
For every output cell, multiply the corresponding row and column entries, then sum exactly. Dimensions must agree. The first mismatch follows row order.
Cᵢⱼ = ∑ₖ Aᵢₖ Bₖⱼ
A synthetic calculation · follow the evidence backward
2 × 0 + (−1) × 3
Start with the proposed result.
The exact arithmetic workbook / No. 01
Bring a candidate. Follow the calculation. Find the first mismatch.
Enter your matrices, or load a clearly labeled example. Each term will point back to its source.
Not checked
No result yet. Verification starts when you check a calculation.
Exports include the inputs and every exact operation. They can be recomputed independently.
Checks these calculations only. No AI generation. No general theorem proving.
What counts as a check?
For every output cell, multiply the corresponding row and column entries, then sum exactly. Dimensions must agree. The first mismatch follows row order.
Cᵢⱼ = ∑ₖ Aᵢₖ Bₖⱼ
Multiply coefficients by degree and collect like powers. Equality holds when every coefficient agrees. No sampled points, no floating-point tolerance.
rₖ = ∑ᵢ₊ⱼ₌ₖ pᵢ qⱼ
The proposed Proof Cricket application token is intended for portable access to exact-calculation template services and contribution records for shared workbooks across participating apps.
Those services and token contracts are not connected. Local checks and file exports are free to use without a wallet. No token has been issued; the need for a token beyond ordinary service accounts remains to be validated.