Documentation

Mathlib.Tactic.NormNum.NatSqrt

norm_num extension for Nat.sqrt #

This module defines a norm_num extension for Nat.sqrt.

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theorem Mathlib.Meta.NormNum.nat_sqrt_helper {x y r : ℕ} (hr : y * y + r = x) (hle : r.ble (2 * y) = true) :
x.sqrt = y
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theorem Mathlib.Meta.NormNum.isNat_sqrt {x nx z : ℕ} :
IsNat x nx → nx.sqrt = z → IsNat x.sqrt z
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def Mathlib.Meta.NormNum.proveNatSqrt (ex : Q(ℕ)) :
(ey : Q(ℕ)) × Q(«$ex».sqrt = «$ey»)

Given the natural number literal ex, returns its square root as a natural number literal and an equality proof. Panics if ex isn't a natural number literal.

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    def Mathlib.Meta.NormNum.evalNatSqrt :
    NormNumExt

    Evaluates the Nat.sqrt function.

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