calcErrors.lean:3:30-3:33: error: type mismatch
  rfl
has type
  b + b = b + b : Prop
but is expected to have type
  b + b = 0 + c + b : Prop
calcErrors.lean:7:8-7:29: error: invalid 'calc' step, left-hand-side is 
  0 + c + b : Nat
previous right-hand-side is
  b + b : Nat
calcErrors.lean:15:8-15:11: error: invalid 'calc' step, relation expected
  p a
calcErrors.lean:20:8-20:19: error: invalid 'calc' step, failed to synthesize `Trans` instance
  Trans p p ?m
calcErrors.lean:27:7-27:12: error: invalid 'calc' step, left-hand-side is 
  γ : Sort u_1
previous right-hand-side is
  b : β