Search for blocks/addresses/...

Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNo x1.
Assume H2: SNo x2.
Assume H3: add_SNo x0 x1 = add_SNo x0 x2.
Claim L4: SNo (minus_SNo x0)
Apply SNo_minus_SNo with x0.
The subproof is completed by applying H0.
Claim L5: add_SNo (minus_SNo x0) (add_SNo x0 x1) = x1
Apply add_SNo_assoc with minus_SNo x0, x0, x1, λ x3 x4 . x4 = x1 leaving 4 subgoals.
The subproof is completed by applying L4.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply add_SNo_minus_SNo_linv with x0, λ x3 x4 . add_SNo x4 x1 = x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply add_SNo_0L with x1.
The subproof is completed by applying H1.
Claim L6: add_SNo (minus_SNo x0) (add_SNo x0 x2) = x2
Apply add_SNo_assoc with minus_SNo x0, x0, x2, λ x3 x4 . x4 = x2 leaving 4 subgoals.
The subproof is completed by applying L4.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply add_SNo_minus_SNo_linv with x0, λ x3 x4 . add_SNo x4 x2 = x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply add_SNo_0L with x2.
The subproof is completed by applying H2.
Apply L5 with λ x3 x4 . x3 = x2.
Apply H3 with λ x3 x4 . add_SNo (minus_SNo x0) x4 = x2.
The subproof is completed by applying L6.