def target_miss

bendtorch-core@0.1.0.0 · src/tensor/slice_PROOF.bend:844

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/slice.bend as Slice
import bendtorch-core@0.1.0.0/src/tensor/slice_LAWS.bend as Laws

844def target_miss(+outer: Nat, +extent: Nat, +inner: Nat, +start: Nat, +step: Nat, +length: Nat, +o: Nat, +i: Nat, +r: Nat,
845  +i_below: {Nat.is_lt(i, extent) == True{} : Bool}, +r_below: {Nat.is_lt(r, inner) == True{} : Bool},
846  missed: @+k: Nat -> @below: {Nat.is_lt(k, length) == True{} : Bool} -> {Nat.is_eq(Nat.add(start, Nat.mul(k, step)), i) == False{} : Bool}) ->
847  {Slice.target(Slice.Plan{outer, extent, inner, start, step, length}, Laws.position(extent, inner, o, i, r)) == None{} : Maybe<&2, Nat>}:
848  Equal.trans(Maybe<&2, Nat>, Slice.target(Slice.Plan{outer, extent, inner, start, step, length}, Laws.position(extent, inner, o, i, r)),
849    picked_at(outer, extent, inner, start, step, length, Nat.add(Nat.mul(o, extent), i), r, i), None{},
850    target_split(outer, extent, inner, start, step, length, o, i, r, i_below, r_below),
851    missed_k(outer, extent, inner, start, step, length, Nat.add(Nat.mul(o, extent), i), r, i, Nat.div(Nat.sub(i, start), step), missed,
852      Shape.bool_case(Slice.hits(start, step, length, i, Nat.div(Nat.sub(i, start), step)))))