LengthUnit
📁 Source: PhysLean/SpaceAndTime/Space/LengthUnit.lean
Statistics
| Metric | Count |
|---|---|
DefinitionsLengthUnit, astronomicalUnits, centimeters, chains, feet, femtometers, furlongs, inches, instHDivNNReal, instInhabited, kilometers, lightYears, links, meters, micrometers, miles, millimeters, nanometers, nauticalMiles, parsecs, picometers, rods, scale, val, yards | 25 |
| 16 | |
| Total | 41 |
LengthUnit
Definitions
| Name | Category | Theorems |
|---|---|---|
astronomicalUnits 📖 | CompOp | — |
centimeters 📖 | CompOp | — |
chains 📖 | CompOp | — |
feet 📖 | CompOp | — |
femtometers 📖 | CompOp | — |
furlongs 📖 | CompOp | |
inches 📖 | CompOp | — |
instHDivNNReal 📖 | CompOp | |
instInhabited 📖 | CompOp | — |
kilometers 📖 | CompOp | — |
lightYears 📖 | CompOp | — |
links 📖 | CompOp | — |
meters 📖 | CompOp | |
micrometers 📖 | CompOp | — |
miles 📖 | CompOp | |
millimeters 📖 | CompOp | — |
nanometers 📖 | CompOp | — |
nauticalMiles 📖 | CompOp | — |
parsecs 📖 | CompOp | — |
picometers 📖 | CompOp | — |
rods 📖 | CompOp | — |
scale 📖 | CompOp | |
val 📖 | CompOp | |
yards 📖 | CompOp |
Theorems
| Name | Kind | Assumes | Proves | Validates | Depends On |
|---|---|---|---|---|---|
div_eq_val 📖 | mathematical | — | LengthUnitinstHDivNNRealvalval_pos | — | — |
div_mul_div_coe 📖 | mathematical | — | LengthUnitinstHDivNNReal | — | — |
div_neq_zero 📖 | mathematical | — | LengthUnitinstHDivNNReal | — | val_posdiv_eq_val |
div_pos 📖 | mathematical | — | LengthUnitinstHDivNNReal | — | div_neq_zero |
div_self 📖 | mathematical | — | LengthUnitinstHDivNNReal | — | val_posval_neq_zero |
div_symm 📖 | mathematical | — | LengthUnitinstHDivNNReal | — | val_posdiv_eq_val |
furlongs_div_yards 📖 | mathematical | — | LengthUnitinstHDivNNRealfurlongsyards | — | scale_div_scalediv_self |
miles_div_yards 📖 | mathematical | — | LengthUnitinstHDivNNRealmilesyards | — | scale_div_scalediv_self |
property 📖 | mathematical | — | val | — | — |
scale_div_scale 📖 | mathematical | — | LengthUnitinstHDivNNRealscale | — | — |
scale_div_self 📖 | mathematical | — | LengthUnitinstHDivNNRealscale | — | val_pos |
scale_one 📖 | mathematical | — | scale | — | — |
scale_scale 📖 | mathematical | — | scale | — | — |
self_div_scale 📖 | mathematical | — | LengthUnitinstHDivNNRealscale | — | val_pos |
val_neq_zero 📖 | — | — | — | — | property |
val_pos 📖 | mathematical | — | val | — | property |
(root)
Definitions
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