Theory natural

theory file

name natural
version 1.112
requires
meta.description The natural numbers
meta.author Joe Leslie-Hurd <joe@gilith.com>
meta.license MIT
meta.show "Data.Bool"
meta.show "Function"
meta.show "Number.Natural"
name main
imports
  • axiom-infinity
  • def
  • thm
  • dest
  • numeral
  • order
  • add
  • mult
  • div
  • exp
  • factorial
  • distance
  • funpow
subs
13 subs
name axiom-infinity
package axiom-infinity-1.12
name def
imports
  • axiom-infinity
package natural-def-1.29
name thm
imports
  • def
package natural-thm-1.22
name dest
imports
  • thm
package natural-dest-1.18
name numeral
imports
  • thm
package natural-numeral-1.20
name order
imports
  • def
  • thm
package natural-order-1.52
name add
imports
  • def
  • thm
  • dest
  • numeral
  • order
package natural-add-1.68
name mult
imports
  • def
  • thm
  • numeral
  • order
  • add
package natural-mult-1.61
name div
imports
  • def
  • thm
  • numeral
  • order
  • add
  • mult
package natural-div-1.57
name exp
imports
  • def
  • thm
  • numeral
  • order
  • add
  • mult
  • div
package natural-exp-1.53
name factorial
imports
  • def
  • thm
  • numeral
  • order
  • add
  • mult
package natural-factorial-1.39
name distance
imports
  • thm
  • numeral
  • order
  • add
  • mult
package natural-distance-1.52
name funpow
imports
  • def
  • thm
  • numeral
  • add
  • mult
package natural-funpow-1.17
[evaluating…]