`val_sub`

proved

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module: IndisputableMonolith.Measurement.RSNative.Core
domain: Measurement
line: 182 · github
papers citing: none yet

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IndisputableMonolith.Measurement.RSNative.Core on GitHub at line 182.

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formal source

 179
 180@[simp] theorem val_zero (U : Type) : (0 : Quantity U).val = 0 := rfl
 181@[simp] theorem val_add {U : Type} (a b : Quantity U) : (a + b).val = a.val + b.val := rfl
 182@[simp] theorem val_sub {U : Type} (a b : Quantity U) : (a - b).val = a.val - b.val := rfl
 183@[simp] theorem val_neg {U : Type} (a : Quantity U) : (-a).val = -a.val := rfl
 184@[simp] theorem val_smul {U : Type} (r : ℝ) (a : Quantity U) : (r • a).val = r * a.val := rfl
 185
 186end Quantity
 187
 188/-! ### Unit/semantic tags (empty types) -/
 189
 190inductive TickUnit : Type
 191inductive VoxelUnit : Type
 192inductive CohUnit : Type
 193inductive ActUnit : Type
 194inductive CostUnit : Type
 195inductive SkewUnit : Type
 196inductive MeaningUnit : Type
 197inductive QualiaUnit : Type
 198inductive ZUnit : Type
 199
 200abbrev Tick := Quantity TickUnit
 201abbrev Voxel := Quantity VoxelUnit
 202abbrev Coh := Quantity CohUnit
 203abbrev Act := Quantity ActUnit
 204abbrev Cost := Quantity CostUnit
 205abbrev Skew := Quantity SkewUnit
 206abbrev Meaning := Quantity MeaningUnit
 207abbrev Qualia := Quantity QualiaUnit
 208abbrev ZCharge := Quantity ZUnit
 209
 210end RSNative
 211end Measurement
 212end IndisputableMonolith

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