def or_cong

bendtorch@1.3.0.0 · PROOF.bend:908

import Base

908def or_cong(+p: Bool, +p2: Bool, +q: Bool, +q2: Bool, e: {p == p2 : Bool}, f: {q == q2 : Bool}) -> {Bool.or(p, q) == Bool.or(p2, q2) : Bool}:
909  Equal.trans(Bool, Bool.or(p, q), Bool.or(p2, q), Bool.or(p2, q2), Equal.cong(Bool, Bool, x => Bool.or(x, q), p, p2, e), Equal.cong(Bool, Bool, x => Bool.or(p2, x), q, q2, f))