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Signature symbols in this unit

Symbol Specification Kind Type
. * .real-multdivfReal × Real → Real
. + .int-basic2fInt × Int → Int
. + .real-basicfReal × Real → Real
. + .nat-basicfNat × Nat → Nat
. +1int-basic1fInt → Int
. +1nat-basicfNat → Nat
. - .int-absfInt × Int → Int
. - .real-absfReal × Real → Real
. - .natpfNat × Nat → Nat with λ n, m. n ≥ m
. -1int-basic1fInt → Int
. -1nat-basicpfNat → Nat with λ n. n ≠ 0
. .rreal-basicfInt → Real
. / .real-multdivpfReal × Real → Real with λ r0, r. r ≠ 0.r
. < .int-basic1pInt × Int
. < .real-basicpReal × Real
. < .nat-basicpNat × Nat
. > .int-abspInt × Int
. > .real-abspReal × Real
. > .natpNat × Nat
. ^-1real-multdivpfReal → Real with λ r. r ≠ 0.r
. ≤ .int-abspInt × Int
. ≤ .real-abspReal × Real
. ≤ .real-supinfp(Real → Type(Bool)) × Real
. ≤ .real-supinfpReal × (Real → Type(Bool))
. ≤ .natpNat × Nat
. ≥ .int-abspInt × Int
. ≥ .real-abspReal × Real
. ≥ .natpNat × Nat
~ .int-absfInt → Int
~ .real-basicfReal → Real
εreal-limitvReal
Intint-basic1s
Natnat-basics
Realreal-basics
absint-absfInt → Int
absreal-absfReal → Real
bounded≤real-supinfp(Real → Type(Bool))
bounded≤real-limitp(Nat → Type(Real)) × Real
bounded≥real-supinfp(Real → Type(Bool))
bounded≥real-limitp(Nat → Type(Real)) × Real
convergesreal-limitp(Nat → Type(Real))
convergesreal-limitp(Nat → Type(Real)) × Real
freal-limitvNat → Real
ireal-limitvInt
infreal-supinfpf(Real → Bool) → Real with λ rset. bounded≥(rset)
jreal-limitvInt
limitreal-limitpf(Nat → Real) → Real with λ f. converges(f)
maxreal-min-maxfReal × Real → Real
minreal-min-maxfReal × Real → Real
mon≤real-limitp(Nat → Type(Real))
mon≥real-limitp(Nat → Type(Real))
nreal-limitvNat
rreal-limitvReal
supreal-supinfpf(Real → Bool) → Real with λ rset. bounded≤(rset)