NatOrder.cv_add: def of bend-kit-collections@0.1.4.1 Import: import bend-kit-collections@0.1.4.1/nat_order.bend as NatOrder Lines 192-195 of bend-kit-collections@0.1.4.1/nat_order.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&start_line=192&end_line=195 import Base def cv_add(-A: Nat, -B: Nat, +p: Lin, +q: Lin, +v: Vs, eA: {A == F(p, v) : Nat}, eB: {B == F(q, v) : Nat}) -> {Nat.add(A, B) == F(ladd(p, q), v) : Nat}: tr(Nat.add(A, B), Nat.add(F(p, v), F(q, v)), F(ladd(p, q), v), cong_add(A, F(p, v), B, F(q, v), eA, eB), F_add(p, q, v)) Uses (9): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=F https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=F_add https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=Lin https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=Vs https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=cong_add https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=ladd https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/nat_order.bend&name=tr