def reads
bendtorch-core@0.1.0.0 · src/tensor/batched_matmul_PROOF.bend:122
import bendtorch-core@0.1.0.0/src/tensor/batched_matmul_PROOF.bend as BatchedMatmulPROOF
import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/refinement.bend as Refinement
import bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend as Parallel
122def reads(+dl: Nat, +dr: Nat, -A: Array<F32>, -B: Array<F32>, +lp: Nat, +rp: Nat,
123 -la: Array<F32>, -ra: Array<F32>, -el: {la == A : Array<F32>}, -er: {ra == B : Array<F32>},
124 -left_valid: Model.Balanced(F32, dl, A), -right_valid: Model.Balanced(F32, dr, B),
125 -pl: Array<F32> & F32, -exact_l: {pl == Array.get(F32, la, U32.from_nat(lp)) : Array<F32> & F32},
126 -pr: Array<F32> & F32, -exact_r: {pr == Array.get(F32, ra, U32.from_nat(rp)) : Array<F32> & F32}) ->
127 Parallel.Fact<Read<dl, dr, A, B, lp, rp, pl, pr>>:
128 Parallel.Fact{Read{
129 Equal.sym(Maybe<&2, F32>, Some{Refinement.second(F32, pl)}, Model.observe(F32, dl, A, Refinement.route(dl, U32.from_nat(lp))),
130 {\{Parallel.Fact: p => p} : Parallel.Fact<({Some{Refinement.second(F32, pl)} == Model.observe(F32, dl, A, Refinement.route(dl, U32.from_nat(lp))) : Maybe<&2, F32>})> ->
131 {Some{Refinement.second(F32, pl)} == Model.observe(F32, dl, A, Refinement.route(dl, U32.from_nat(lp))) : Maybe<&2, F32>}}(
132 Parallel.read_value(dl, la, A, U32.from_nat(lp), pl, exact_l, el, left_valid))),
133 Equal.sym(Maybe<&2, F32>, Some{Refinement.second(F32, pr)}, Model.observe(F32, dr, B, Refinement.route(dr, U32.from_nat(rp))),
134 {\{Parallel.Fact: p => p} : Parallel.Fact<({Some{Refinement.second(F32, pr)} == Model.observe(F32, dr, B, Refinement.route(dr, U32.from_nat(rp))) : Maybe<&2, F32>})> ->
135 {Some{Refinement.second(F32, pr)} == Model.observe(F32, dr, B, Refinement.route(dr, U32.from_nat(rp))) : Maybe<&2, F32>}}(
136 Parallel.read_value(dr, ra, B, U32.from_nat(rp), pr, exact_r, er, right_valid))),
137 {\{Parallel.Fact: p => p} : Parallel.Fact<({Refinement.first(F32, pl) == A : Array<F32>})> -> {Refinement.first(F32, pl) == A : Array<F32>}}(
138 Parallel.read_keeps(dl, la, A, U32.from_nat(lp), pl, exact_l, el, left_valid)),
139 {\{Parallel.Fact: p => p} : Parallel.Fact<({Refinement.first(F32, pr) == B : Array<F32>})> -> {Refinement.first(F32, pr) == B : Array<F32>}}(
140 Parallel.read_keeps(dr, ra, B, U32.from_nat(rp), pr, exact_r, er, right_valid))}}